# Calculus Examples

Evaluate the Integral
Split the single integral into multiple integrals.
Since is constant with respect to , move out of the integral.
By the Power Rule, the integral of with respect to is .
Combine and .
By the Power Rule, the integral of with respect to is .
Substitute and simplify.
Evaluate at and at .
Evaluate at and at .
Simplify.
Raise to the power of .
One to any power is one.
Combine the numerators over the common denominator.
Subtract from .
Combine and .
Multiply by .
Raise to the power of .
Combine and .
Cancel the common factor of and .
Factor out of .
Cancel the common factors.
Factor out of .
Cancel the common factor.
Rewrite the expression.
Divide by .
One to any power is one.
Multiply by .
To write as a fraction with a common denominator, multiply by .
Combine and .
Combine the numerators over the common denominator.
Simplify the numerator.
Multiply by .
Subtract from .
To write as a fraction with a common denominator, multiply by .
To write as a fraction with a common denominator, multiply by .
Write each expression with a common denominator of , by multiplying each by an appropriate factor of .
Multiply and .
Multiply by .
Multiply and .
Multiply by .
Combine the numerators over the common denominator.
Simplify the numerator.
Multiply by .
Multiply by .
Add and .
The result can be shown in multiple forms.
Exact Form:
Decimal Form:
Mixed Number Form:
Enter YOUR Problem
Mathway requires javascript and a modern browser.
Cookies & Privacy
This website uses cookies to ensure you get the best experience on our website.