JEE Main 2024 · MathsMultiple choiceSingle correctMediumCalculation

JEE Main 30 January 2024, Shift 2, Maths Q10

Question 10 of 90 in this shift, Maths question 10 of 30, Section A.

Let

f: \mathbb{R} \to \mathbb{R}

be defined as

f(x) = ae^{2x} + be^x + cx

. If

f(0) = -1

f'(\log_e 2) = 21

and

\int_0^{\log_e 4} (f(x) - cx)dx = \frac{39}{2}

, then the value of

|a + b + c|

equals

Official answer

Option 1

NTA final key.