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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

∫ ^5 x ^3 x dx equals to :

∫sec⁡5xsin⁡3xdx\int \frac{\sqrt{\sec^5 x}}{\sqrt{\sin^3 x}} dx equals to :

Options

  1. A(tan⁡x)3/2−tan⁡x+C(\tan x)^{3/2} - \sqrt{\tan x} + C
  2. B2(13(tan⁡x)3/2−1tan⁡x)+C2 \left( \frac{1}{3} (\tan x)^{3/2} - \frac{1}{\sqrt{\tan x}} \right) + C
  3. C13(tan⁡x)3/2−tan⁡x+C\frac{1}{3} (\tan x)^{3/2} - \sqrt{\tan x} + C
  4. Dsin⁡x+cos⁡x+C\sqrt{\sin x + \cos x} + C

Correct answer

B. 2(13(tan⁡x)3/2−1tan⁡x)+C2 \left( \frac{1}{3} (\tan x)^{3/2} - \frac{1}{\sqrt{\tan x}} \right) + C

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