Let f be a differentiable function such that 2(x + 2)² f(x) - 3(x + 2)² = 10 ∫₀ˣ (t + 2) f(t) dt, x ≥ 0. Then f(2) is equal to

Unclassified (maths): JEE Main 2025 Mathematics question

JEE Main 2025 · January, Unspecified (session-level dataset) · Q74

JEE Main 2025January, Unspecified (session-level dataset)MathematicsMediumUnclassified (maths)

Let

f

be a differentiable function such that

2(x + 2)^2 f(x) - 3(x + 2)^2 = 10 \int_0^x (t + 2) f(t) dt

x \geq 0

. Then

f(2)

is equal to

Your answerInteger or decimal