Practicing Success

Target Exam

CUET

Subject

-- Mathematics - Section B1

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

none of these

Correct Answer:

c

Explanation:

We have

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

$\Rightarrow I=a \int\limits_{-2}^2 x^3 d x+b \int\limits_{-2}^2 x d x+\int\limits_{-2}^2 c d x=a \times 0+b \times 0+4 c=4 c$

Hence, I depends on $c$ only.