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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

**Paragraph for Question Nos. 1 to 2** Let f(x) = ∫ x^2 ^2 x (2x +...

**Paragraph for Question Nos. 1 to 2** Let f(x)=∫x2cos⁡2x(2x+6tan⁡x−2xtan⁡2x)dxf(x) = \int x^2 \cos^2 x (2x + 6\tan x - 2x\tan^2 x) dx and f(x)f(x) passes through the point (π,0)(\pi, 0) The number of solution(s) of the equation f(x)=x3f(x) = x^3 in [0,2π][0, 2\pi] be :

Options

  1. A0
  2. B3
  3. C2
  4. DNone of these

Correct answer

B. 3

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