Question

Find the integral:

\[ ∫ (5e^x - 1/x) dx ]
A. 5e^x - 2/x² + C
B. 5xe^x - ln |x| + C
C. 5e^x - 1/(2x²) + C
D. 5e^x - ln |x| + C

Answer 1

The integral of (5e^x - 1/x) dx is 5e^x - ln |x| + C.

Step-by-step explanation:

To find the integral ∫ (5e^x - 1/x) dx, we need to use the rules of integration. We will integrate each term separately. For the first term, the integral of 5e^x is simply 5e^x. For the second term, the integral of 1/x is ln |x|. Therefore, the integral of (5e^x - 1/x) dx is 5e^x - ln |x| + C, where C is the constant of integration.