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Black Advanced Problems in Mathematics
Exam
Black Advanced Problems in Mathematics
Subject
Mathematics
Chapter
Indefinite and Definite Integration

Black Advanced Problems in Mathematics · Mathematics · Indefinite and Definite Integration

Let (d)/(dx) F(x) = ( e^ x x ), x > 0 . If ∫_1^4 (3)/(x) e^ x^3 dx...

Let ddxF(x)=(esin⁡xx),x>0\frac{d}{dx} F(x) = \left( \frac{e^{\sin x}}{x} \right), x > 0. If ∫143xesin⁡x3dx=F(k)−F(1)\int_1^4 \frac{3}{x} e^{\sin x^3} dx = F(k) - F(1), then one of the possible values of kk, is:

Options

  1. A15
  2. B16
  3. C63
  4. D64

Correct answer

D. 64

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