1 / | | asin(x)*asin(x) dx | / 0
Integral(asin(x)*asin(x), (x, 0, 1))
Use integration by parts:
Let and let .
Then .
To find :
The integral of a constant is the constant times the variable of integration:
Now evaluate the sub-integral.
Use integration by parts:
Let and let .
Then .
To find :
Let .
Then let and substitute :
The integral of a constant times a function is the constant times the integral of the function:
The integral of is when :
So, the result is:
Now substitute back in:
Now evaluate the sub-integral.
The integral of a constant is the constant times the variable of integration:
Add the constant of integration:
The answer is:
/ ________ | 2 / 2 | asin(x)*asin(x) dx = C - 2*x + x*asin (x) + 2*\/ 1 - x *asin(x) | /
2 pi -2 + --- 4
=
2 pi -2 + --- 4
-2 + pi^2/4
Use the examples entering the upper and lower limits of integration.