1 / | | asin(x) | ------- dx | x*x | / 0
Integral(asin(x)/((x*x)), (x, 0, 1))
Use integration by parts:
Let and let .
Then .
To find :
The integral of is when :
Now evaluate the sub-integral.
The integral of a constant times a function is the constant times the integral of the function:
Don't know the steps in finding this integral.
But the integral is
So, the result is:
Now simplify:
Add the constant of integration:
The answer is:
// /1\ 1 \ / ||-acosh|-| for ---- > 1| | || \x/ | 2| | | asin(x) asin(x) || |x | | | ------- dx = C - ------- + |< | | x*x x || /1\ | | ||I*asin|-| otherwise | / || \x/ | \\ /
Use the examples entering the upper and lower limits of integration.