TS EAMCET · Maths · Indefinite Integration
\(\int\left(1+\tan ^2 x\right)(1+2 x \tan x) d x=\)
- A \(x \sec x+\mathrm{c}\)
- B \(x \tan ^2 x+\mathrm{c}\)
- C \(x \sec ^2 x+\mathrm{c}\)
- D \(x \tan x+\mathrm{c}\)
Answer & Solution
Correct Answer
(C) \(x \sec ^2 x+\mathrm{c}\)
Step-by-step Solution
Detailed explanation
\( \int \sec^2 x (1+2x \tan x) dx \) \( = x \sec^2 x + C \)
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