In this tutorial we shall drive integral of sin(lnx), and solve this problem with the help of integration by parts methods as well as with the help of substitution method.
The integral of sin(lnx) is of the form
Suppose that , then by differentiation , we have
Here first function is and second function will be
Using formula for integration by parts, we have
Equation (i) becomes using above formula, we have
Again using integration by parts, we have
Using the original integral form as , we have