# Trigonometric substitution calculator

The Integral Calculator lets you calculate integrals and antiderivatives of functions online — for free! Our calculator allows you to check your solutions to calculus exercises. It helps you practice by showing you the full working step by step integration. All common integration techniques and even special functions are supported.

The Integral Calculator supports definite and indefinite integrals antiderivatives as well as integrating functions with many variables. You can also check your answers! For more about how to use the Integral Calculator, go to " Help " or take a look at the examples. Enter the function you want to integrate into the Integral Calculator. The Integral Calculator will show you a graphical version of your input while you type.

Make sure that it shows exactly what you want. Use parentheses, if necessary, e. In " Examples"you can see which functions are supported by the Integral Calculator and how to use them. When you're done entering your function, click " Go! In " Options ", you can set the variable of integration and the integration bounds.

If you don't specify the bounds, only the antiderivative will be computed. Clicking an example enters it into the Integral Calculator. Moving the mouse over it shows the text. The practice problem generator allows you to generate as many random exercises as you want.

You find some configuration options and a proposed problem below. You can accept it then it's input into the calculator or generate a new one. Not what you mean? Use parentheses! Set integration variable and bounds in " Options ".

An extremely well-written book for students taking Calculus for the first time as well as those who need a refresher. This book makes you realize that Calculus isn't that tough after all. Paid link. As an Amazon Associate I earn from qualifying purchases. For those with a technical background, the following section explains how the Integral Calculator works. First, a parser analyzes the mathematical function.

It transforms it into a form that is better understandable by a computer, namely a tree see figure below. In doing this, the Integral Calculator has to respect the order of operations.

The Integral Calculator has to detect these cases and insert the multiplication sign. The parser is implemented in JavaScriptbased on the Shunting-yard algorithmand can run directly in the browser.The power of a product is equal to the product of it's factors raised to the same power. The integral of a constant by a function is equal to the constant multiplied by the integral of the function. The logarithm of a quotient is equal to the logarithm of the numerator minus the logarithm of the denominator.

Integration by trigonometric substitution Calculator Get detailed solutions to your math problems with our Integration by trigonometric substitution step-by-step calculator. Practice your math skills and learn step by step with our math solver. Check out all of our online calculators here! Example Solved Problems Difficult Problems.

Intermediate steps. Intermediate steps Taking the derivative of secant. Intermediate steps The logarithm of a quotient is equal to the logarithm of the numerator minus the logarithm of the denominator.

Final Answer. Struggling with math? Access detailed step by step solutions to thousands of problems, growing every day! Join now. Related Calculators Integrals by partial fraction expansion Calculator.

Trigonometric integrals Calculator. Integration by substitution Calculator. Integration by parts Calculator.This website uses cookies to ensure you get the best experience. By using this website, you agree to our Cookie Policy. Learn more Accept. Conic Sections Trigonometry. Conic Sections. Matrices Vectors. Chemical Reactions Chemical Properties.

System of Equations Substitution Calculator Solve system of equations unsing substitution method step-by-step. Correct Answer :.

Let's Try Again :. Try to further simplify. Solving simultaneous equations is one small algebra step further on from simple equations. Symbolab math solutions A system of equations is a collection of two or more equations with the same set of variables.

In this blog post, Sign In Sign in with Office Sign in with Facebook. Join million happy users! Sign Up free of charge:. Join with Office Join with Facebook. Create my account.Wolfram Alpha is a great tool for calculating antiderivatives and definite integrals, double and triple integrals, and improper integrals. It also shows plots, alternate forms and other relevant information to enhance your mathematical intuition.

Enter your queries using plain English. To avoid ambiguous queries, make sure to use parentheses where necessary. Here are some examples illustrating how to ask for an integral. Get immediate feedback and guidance with step-by-step solutions and Wolfram Problem Generator. The indefinite integral ofdenotedis defined to be the antiderivative of. In other words, the derivative of is. Since the derivative of a constant is 0, indefinite integrals are defined only up to an arbitrary constant. For example, since the derivative of is. The definite integral of from todenotedis defined to be the signed area between and the axis, from to. Both types of integrals are tied together by the fundamental theorem of calculus.

This states that if is continuous on and is its continuous indefinite integral, then. This means. Sometimes an approximation to a definite integral is desired. A common way to do so is to place thin rectangles under the curve and add the signed areas together. Wolfram Alpha can solve a broad range of integrals. Wolfram Alpha computes integrals differently than people.

It calls Mathematica's Integrate function, which represents a huge amount of mathematical and computational research. Integrate does not do integrals the way people do. Instead, it uses powerful, general algorithms that often involve very sophisticated math. There are a couple of approaches that it most commonly takes. One involves working out the general form for an integral, then differentiating this form and solving equations to match undetermined symbolic parameters.

Even for quite simple integrands, the equations generated in this way can be highly complex and require Mathematica's strong algebraic computation capabilities to solve. Another approach that Mathematica uses in working out integrals is to convert them to generalized hypergeometric functions, then use collections of relations about these highly general mathematical functions. While these powerful algorithms give Wolfram Alpha the ability to compute integrals very quickly and handle a wide array of special functions, understanding how a human would integrate is important too.

As a result, Wolfram Alpha also has algorithms to perform integrations step by step. These use completely different integration techniques that mimic the way humans would approach an integral. This includes integration by substitution, integration by parts, trigonometric substitution and integration by partial fractions. Uh oh! Wolfram Alpha doesn't run without JavaScript. Please enable JavaScript.

## Trigonometric Equation Calculator

Trigonometric Equations. Conic Sections Trigonometry. Conic Sections. Matrices Vectors. Chemical Reactions Chemical Properties. Trigonometric Equation Calculator Solve trigonometric equations step-by-step. Correct Answer :. Let's Try Again :.

We want your feedback optional. Cancel Send. Generating PDF See All area asymptotes critical points derivative domain eigenvalues eigenvectors expand extreme points factor implicit derivative inflection points intercepts inverse laplace inverse laplace partial fractions range slope simplify solve for tangent taylor vertex.Enter expression, e.

Enter a set of expressions, e. Enter equation to solve, e. Enter equation to graph, e. Number of equations to solve: 2 3 4 5 6 7 8 9 Sample Problem Equ. Enter inequality to solve, e. Enter inequality to graph, e. Number of inequalities to solve: 2 3 4 5 6 7 8 9 Sample Problem Ineq. Please use this form if you would like to have this math solver on your website, free of charge. Descriptions of Mathematics. Precalculus Practice Final Exam Solutions. Quadratic Functions: Parabolas. Math Exam II Review. Quadratic Equations,Inequalities and Functions. Interpreting Regression Statistics.

The California Mathematics Content Standards.

### Integral (Antiderivative) Calculator with Steps

Joys and virtues of obsolete technologies. Recommended Placements for College Level Mathematics. Topic 4 Variables. Topics in Computer Mathematics - Number Systems. Grade 7 Courses.The integral of the sum of two or more functions is equal to the sum of their integrals. The integral of a constant is equal to the constant times the integral's variable. The integral of a constant by a function is equal to the constant multiplied by the integral of the function. Trigonometric integrals Calculator Get detailed solutions to your math problems with our Trigonometric integrals step-by-step calculator.

Practice your math skills and learn step by step with our math solver. Check out all of our online calculators here! Example Solved Problems Difficult Problems. Intermediate steps. Intermediate steps The integral of the sum of two or more functions is equal to the sum of their integrals. Intermediate steps The integral of a constant is equal to the constant times the integral's variable. Intermediate steps The integral of a constant by a function is equal to the constant multiplied by the integral of the function.

Final Answer. Struggling with math? Access detailed step by step solutions to thousands of problems, growing every day! Join now.

## Math virtual assistant

Related Calculators Integrals by partial fraction expansion Calculator. Integration by substitution Calculator. Integration by parts Calculator.

Trigonometric substitution

Integration by trigonometric substitution Calculator. 