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Definite Integration question

2024 · 30 Jan · Shift 2 · Q39

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PYQ Library
JEE Main
Mathematics
Definite Integration
2024 · 30 Jan · Shift 2 · Q39

Definite Integration question

2024 · 30 Jan · Shift 2 · Q39

JEE MainMathematicsDefinite IntegrationMCQ+4 / −1

Let

a

and

b

be real constants such that the function

f

defined by

f(x)=\left\{\begin{array}{ll}x^2+3 x+a & , x \leq 1 \\ b x+2 & , x\gt 1\end{array}\right.

be differentiable on

\mathbb{R}

. Then, the value of

\int_{-2}^2 f(x) d x

equals

A
21
B
19/6
C
17
D
15/6

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