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Definite Integration question

2024 · 30 Jan · Shift 2 · Q40

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JEE Main
Mathematics
Definite Integration
2024 · 30 Jan · Shift 2 · Q40

Definite Integration question

2024 · 30 Jan · Shift 2 · Q40

JEE MainMathematicsDefinite IntegrationMCQ+4 / −1

Let

\mathrm{f}: \mathbb{R} \rightarrow \mathbb{R}

be defined as

f(x)=a e^{2 x}+b e^x+c x

. If

f(0)=-1, f^{\prime}\left(\log _e 2\right)=21

and

\int_0^{\log _e 4}(f(x)-c x) d x=\frac{39}{2}

, then the value of

|a+b+c|

equals

A
16
B
12
C
8
D
10

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