Question

Evaluate the integral ∫ csc(x) * cot(x) dx.

a) -csc(x) + C
b) csc(x) + C
c) -cot(x) + C
d) cot(x) + C

Answer 1

The integral of csc(x) * cot(x) dx is -csc(x) + C.

Step-by-step explanation:

To evaluate the integral ∫ csc(x) * cot(x) dx, we have to find a function whose derivative gives us csc(x) * cot(x). Notice that the derivative of -csc(x) is -(-csc(x) cot(x)) = csc(x) * cot(x). Therefore, the integral of csc(x) * cot(x) with respect to x is -csc(x) + C, where C is the constant of integration.