AP EAMCET · Maths · Indefinite Integration
\(\int \tan ^{-1}\left(1-x+x^2\right) d x+\int \tan ^{-1}(x) d x+\int \tan ^{-1}(1-x) d x=\)
- A \(\frac{\pi}{2} x+C\)
- B \(\frac{\pi}{4} x+C\)
- C \(x+C\)
- D \(\pi x+C\)
Answer & Solution
Correct Answer
(A) \(\frac{\pi}{2} x+C\)
Step-by-step Solution
Detailed explanation
\(I=\int \tan ^{-1}\left(1-x+x^2\right) d x+\int \tan ^{-1} x d x+\int \tan ^{-1}(1-x) d x\)…
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