MHT CET · Maths · Indefinite Integration
\(\int \frac{1}{(x+2)(1+x)^2} \mathrm{~d} x\) has the value
- A \(2 \log \left(\frac{x+2}{x^2+1}\right)+4 \tan ^{-1} x+\mathrm{c}\), where \(\mathrm{c}\) is a constant of integration.
- B \(\log \frac{x+2}{x^2+1}-4 \tan ^{-1} x+\mathrm{c}\), where \(\mathrm{c}\) is a constant of integration.
- C \(\log \frac{(x+2)^2}{\left(x^2+1\right)}+4 \tan ^{-1} x+\mathrm{c}\), where \(\mathrm{c}\) is a constant of integration.
- D \(\log \frac{(x+2)}{\left(x^2+1\right)^2}-4 \tan ^{-1} x+\mathrm{c}\), where \(\mathrm{c}\) is a constant of integration.
Answer & Solution
Correct Answer
(C) \(\log \frac{(x+2)^2}{\left(x^2+1\right)}+4 \tan ^{-1} x+\mathrm{c}\), where \(\mathrm{c}\) is a constant of integration.
Step-by-step Solution
Detailed explanation
Std.12 \(\mid\) Part-2 \(\mid\) Ch-3 \(\mid\) Exercise-3.4
[Note: The question cannot be solved due to insufficient data.]
[Note: The question cannot be solved due to insufficient data.]
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