TS EAMCET · Maths · Indefinite Integration
If and , then
- A
- B
- C
- D
Answer & Solution
Correct Answer
(A)
Step-by-step Solution
Detailed explanation
∫x3+x2−x−1(x5+x4+3x3+3x2+x+1)tan−1(x2+1x)dx ∫(x+1)(x2−1)(x+1)(x4+3x2+1)tan−1dx(x+1x) =∫(1−1x2)((x+1x)2+1)tan-1(x+1x)dx ∴A=1 f(x)=tan−1(x+1x) A−tanf(2)=1−(52)=−32
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