Integrate the function F(x)=3(x+2)^4-2(x-5)^ -1 +6 with respect to

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

Problem

Integrate the function

F(x)=3(x+2)^4-2(x-5)^{-1}+6

with respect to

x

. Present your work in the following order: (i) Integrate

3(x+2)^4

. (ii) Integrate

-2(x-5)^{-1}

. (iii) Integrate the constant term

6

. (iv) Combine the results obtained in parts (i)–(iii) to write the most general antiderivative of

F(x)