Find the indefinite integral and check the result by differentiation. (Use C for the constant of integration.) ∫ (x + 8x) dx

Step-by-step explanation:

Given

Required

(a) Integrate

(b) Check using differentiation

To integrate, we make use of the following formula;

if

then

So; becomes

Take LCM

To check using differentiation, we make use of

if , then

Using this formula

becomes

So;