JEE MATHEMATICS MCQ: DEFINITE INTEGRATION

1 Easy

1 of 1

Application +4 | -1

Let

f: R \rightarrow 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\limits_{0}^{\log _e 4}(f(x)-c x) d x=\frac{39}{2}

, then the value of

|a+b+c|

equals

View answer and explanation

Correct option: D

Option D (8) is correct because it involves solving a system of equations derived from the given conditions on the function f(x) and its derivative.

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