AP EAMCET · Maths · Indefinite Integration
If \(f^{\prime}(x)=\tan ^2(x)+\cot ^2(x)\) and \(f\left(\frac{\pi}{4}\right)=0\), then
- A \(\tan (x)-\cot (x)-x+\frac{\pi}{2}\)
- B \(\tan (x)-\cot (x)-2 x+\frac{\pi}{2}\)
- C \(\tan (x)+\cot (x)-2 x+\frac{\pi}{2}\)
- D \(\sec (x)-\operatorname{cosec}(x)-2 x+\frac{\pi}{2}\)
Answer & Solution
Correct Answer
(B) \(\tan (x)-\cot (x)-2 x+\frac{\pi}{2}\)
Step-by-step Solution
Detailed explanation
\(f^{\prime}(x)=\tan ^2 x+\cot ^2 x\) \(\therefore f(x)=\int\left(\tan ^2 x+\cot ^2 x\right) d x\)…
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