The above answer is correct, however it is not simplified... to integrate e^5x, use a u-substitution, and make u=5x, then du = 5 dx, and so dx = u* 1/5, plugging this back into the integral you get, 1/5 * e^u du. Move your 1/5 out of the integral and just integrate e^u, which is simply e^u + constant, don't forget the 1/5 that you moved to the front, and now you have (1/5)e^u + C, now plug back in your 5x for u and you get, (1/5) e^5x + C as your final answer.