Homework Statement
Integrate (x^3)sqrt(1-x^2)
Homework Equations
The Attempt at a Solution
I used trig. substitution along with u substitution and came up with (x^4)/4 +C which I know is wrong. My professor gave the answer -(((3x^2)+2)((1-x^2)^(3/2)))/15 . Please help!
Homework Statement
Integrate (x^3)sqrt(1-x^2)
Homework Equations
The Attempt at a Solution
I used trig. substitution along with u substitution and came up with (x^4)/4 +C which I know is wrong. My professor gave the answer -(((3x^2)+2)((1-x^2)^(3/2)))/15 . Please help!