AP EAMCET · Maths · Definite Integration
\(\int \frac{(1+x) e^x}{\cot \left(x e^x\right)} d x=\)
- A \(\log \left(\cos \left(x e^x\right)\right)+c\)
- B \(\log \left(\cot \left(x e^x\right)\right)+c\)
- C \(\log \left(\sec \left(x e^x\right)\right)+c\)
- D \(\log \left(\operatorname{cosec}\left(x e^x\right)\right)+c\)
Answer & Solution
Correct Answer
(C) \(\log \left(\sec \left(x e^x\right)\right)+c\)
Step-by-step Solution
Detailed explanation
\(\int \frac{(1+x) \cdot e^x}{\cot \left(x \cdot e^x\right)} d x\) Put, \(x e^x=t\) Differentiate w.r.to, \(x\)…
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