Use the method of substitution to evaluate the following integral:
Let
Then, we can evaluate the integral,
Use the method of substitution to evaluate the following integral:
Let
Then, we can evaluate the integral,
This can be solved by rewriting the initial problem as cot(x)csc^2(x), then setting u=cot(x). This method gives you a final answer of -cot^2(x)/2+C, which can be made to fit the answer in the textbook by using the trig identity cot^2(x)=csc^2(x)-1.