Practicing Success

Target Exam

CUET

Subject

-- Mathematics - Section A

Chapter

Definite Integration

Question:

The value of $\int\limits_{-2}^2\left(a x^3+b x+c\right) d x$ depends on

Options:

b

c

a

a and b

Correct Answer:

c

Explanation:

$I=\int\limits_{-2}^2\left(a x^3+b x\right) d x+c \int\limits_{-2}^2 d x=0+c . 4=4 c$

(∵ ax3 + bx is an odd function of x).

Hence (2) is the correct answer.