If I = e ^ x ( x x+ x) d x then I equals :
Mathematics · JEE Advanced · NTA Exams — Integral Calculus
If \(\mathrm{I}=\int \mathrm{e}^{x}(\mathrm{x} \cos x+\sin x) \mathrm{d} x\)then I equals :
- \(\frac{1}{2} \mathrm{e}^{x}(x \sin x-\cos x)+\mathrm{c}\)
- \(\frac{1}{2} \mathrm{e}^{x}(x \sin x+\cos x)+\mathrm{c}\)
- \(\frac{1}{2} e^{x}(x \cos x-\sin x)+c\)
- None
Answer
(D) None
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