A Level

MATHEMATICS · Single correct · A Level · Mathematics · Integration · Integration

Problem

24. ∫ex(1+x)cos⁡2(exx)dx\int \frac{e^{x}(1+x)}{\cos ^{2}\left(e^{x} x\right)} d x equals (A) −cot⁡(exx)+C-\cot \left(e x^{x}\right)+\mathrm{C} (B) tan⁡(xex)+C\tan \left(x e^{x}\right)+\mathrm{C} (C) tan⁡(ex)+C\tan \left(e^{x}\right)+\mathrm{C} (D) cot⁡(ex)+C\cot \left(e^{x}\right)+\mathrm{C}

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