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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

For any x ∈ R , and f be a continuous function. Let I_1 = ∫_ ^2 x ^...

For any x∈Rx \in R, and ff be a continuous function. Let I1=∫sin⁡2x1+cos⁡2xtf(t(2−t))dtI_1 = \int_{\sin^2 x}^{1+\cos^2 x} t f(t(2-t))dt, I2=∫sin⁡2x1+cos⁡2xf(t(2−t))dtI_2 = \int_{\sin^2 x}^{1+\cos^2 x} f(t(2-t))dt, then I1=I_1 =

Options

  1. AI2I_2
  2. B12I2\frac{1}{2}I_2
  3. C2I22I_2
  4. D3I23I_2

Correct answer

A. I2I_2

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