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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

If ∫ cosec^2 x - 2010 ^ 2010 x dx = - f(x) (g(x))^ 2010 + C ; where...

If ∫cosec2x−2010cos⁡2010xdx=−f(x)(g(x))2010+C\int \frac{\text{cosec}^2 x - 2010}{\cos^{2010} x} dx = -\frac{f(x)}{(g(x))^{2010}} + C; where f(π4)=1f\left(\frac{\pi}{4}\right) = 1; then the number of solutions of the equation f(x)g(x)={x}\frac{f(x)}{g(x)} = \{x\} in [0,2π][0, 2\pi] is/are : *(where {⋅}\{ \cdot \} represents fractional part function)*

Options

  1. A0
  2. B1
  3. C2
  4. D3

Correct answer

A. 0

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