TS EAMCET · Maths · Indefinite Integration
If \(\int \frac{(x-1) d x}{(x+1) \sqrt{x^3+x^2+x}}=f(x)+C\), then \(f(1)=\)
- A \(\frac{\pi}{4}\)
- B \(\frac{2 \pi}{5}\)
- C \(\frac{2 \pi}{3}\)
- D \(\frac{5 \pi}{6}\)
Answer & Solution
Correct Answer
(C) \(\frac{2 \pi}{3}\)
Step-by-step Solution
Detailed explanation
Let \(I=\int \frac{x-1}{(x+1) \sqrt{x^3+x^2+x}} d x\)…
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