In this tutorial we shall explain another very important type of integral.
The integration of sine inverse is of the form
To solve this type of integration we use the method of integration by substitution.
If , taking its derivative gives
and this gives
So integral (i) becomes
When using integration by parts it must have at least two functions. Here the first function is and the second function is
Using the formula for integration by parts, we have
Using the formula above, equation (i) becomes
Now again using the value , we have