Solution
Solution
Solution steps
Apply Trigonometric Substitution
Rewrite using trig identities
Apply u-substitution
Expand
Apply the Sum Rule:
Substitute back
Simplify
Add a constant to the solution
Popular Examples
integral of ((x+3)e^x)/((x+4)^2)integral of (x^3-2x^2+7x+5)integral of 10tan^9(x)sec^2(x)integral of 3/(xsqrt(9-x^2))integral of (x^2-4x-2)/(x^3-2x^2+4x-8)
Frequently Asked Questions (FAQ)
What is the integral of x^5(sqrt(1-x^2)) ?
The integral of x^5(sqrt(1-x^2)) is -1/3 (1-x^2)^{3/2}+2/5 (1-x^2)^{5/2}-1/7 (1-x^2)^{7/2}+C