we are given the following.\n int 8e^{5x}+e^{5x}dx \nwe note that we can simplify the integrand as…

we are given the following.\n int 8e^{5x}+e^{5x}dx \nwe note that we can simplify the integrand as follows.\n int 8e^{5x}+e^{5x}dx=int 8(quad)e^{e^{5x}}dx

we are given the following.\n int 8e^{5x}+e^{5x}dx \nwe note that we can simplify the integrand as follows.\n int 8e^{5x}+e^{5x}dx=int 8(quad)e^{e^{5x}}dx

Answer

Explanation:

Step1: Combine like - terms in the integrand

We have (8e^{5x}+e^{5x}=(8 + 1)e^{5x}=9e^{5x}). So (\int(8e^{5x}+e^{5x})dx=\int9e^{5x}dx).

Answer:

(9)