AP

MATHEMATICS · Multi-part · AP · Calculus BC · Integration and Accumulation of Change · Integration and Accumulation of Change

Problem

Let

I=\displaystyle\int (3x+2)e^{5x}\,dx

. (i) Evaluate

I

and express your answer in its simplest form. (ii) Differentiate the result obtained in part (i) to verify that

\dfrac{dI}{dx}=(3x+2)e^{5x}