Let f: ℝ → ℝ be defined by f(x) = ae^2x + be^x + cx. If f(0) = -1… | JEE Main 2024 Mathematics PYQ

MCQMediumJEE Main 2024 · 30 January, Shift 2Definite Integrals

Let $f : \mathbb{R} \to \mathbb{R}$ be defined by $f(x) = ae^{2x} + be^x + cx$ . If $f(0) = -1$ , $f'(\log_e 2) = 21$ , and $\int_{0}^{\log_e 4} \big(f(x) - cx\big) \, dx = \frac{39}{2}$ , then the value of $|a + b + c|$ equals:

A
$16$
B
$10$
C
$12$
D
$8$

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