Answer the following questions

MATHEMATICS · Subjective · AP · Calculus AB · Integration and Accumulation of Change · Integration and Accumulation of Change

Problem

Answer the following questions. (i) Prove that

\displaystyle\int \sin(ax+b)\,dx=-\dfrac{\cos(ax+b)}{a}+C

for any non–zero constant

a

. (ii) Using a similar line of reasoning, obtain the corresponding antiderivative of

\cos(ax+b)

with respect to

x