AP EAMCET · Maths · Indefinite Integration
\(\int \frac{d x}{x\left(x^2+1\right)^3}=\)
- A \(\frac{1}{2\left(x^2+1\right)}+\frac{1}{4\left(x^2+1\right)^2}+\log \sqrt{\frac{x^2}{x^2+1}}+c\)
- B \(\frac{1}{x^2+1}+\frac{1}{2\left(x^2+1\right)^2}+\log \sqrt{\frac{x}{x^2+1}}+c\)
- C \(\frac{1}{2\left(x^2+1\right)}+\frac{1}{4\left(x^2+1\right)^3}+\log \sqrt{\frac{x}{x+1}}+c\)
- D \(\frac{2}{x^2+1}-\frac{1}{4\left(x^2+1\right)^2}-\log \sqrt{\frac{x}{x+1}}+c\)
Answer & Solution
Correct Answer
(A) \(\frac{1}{2\left(x^2+1\right)}+\frac{1}{4\left(x^2+1\right)^2}+\log \sqrt{\frac{x^2}{x^2+1}}+c\)
Step-by-step Solution
Detailed explanation
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