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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

The value of the definite integral ∫_ -π/2 ^ π/2 ( ^2 x)/(1 + 5^x)...

The value of the definite integral ∫−π/2π/2cos⁡2x1+5xdx\int_{-\pi/2}^{\pi/2} \frac{\cos^2 x}{1 + 5^x} dx equals to :

Options

  1. A3π4\frac{3\pi}{4}
  2. Bπ\pi
  3. Cπ2\frac{\pi}{2}
  4. Dπ4\frac{\pi}{4}

Correct answer

D. π4\frac{\pi}{4}

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