Question

Give explaination for a Brainliest answer.....

Answer 1

Step-by-step explanation:

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Answer 2

Solution:-

$∫ \frac{(x + 1 - 1) \times {e}^{x} }{ {(x + 1)}^{2} } \: dx \\ = ∫ \frac{(x + 1)}{ {(x + 1)}^{2} } {e}^{x} dx \: - ∫ \frac{ {e}^{x} }{ {(x + 1)}^{2} } dx \\ \\ = ∫ \frac{ {e}^{x} }{x + 1} dx - ∫ \frac{ {e}^{x} }{ {(x + 1)}^{2} } dx \\ \\ = \frac{ {e}^{x} }{x + 1} - ∫ \frac{( - 1). {e}^{x} }{ {(x + 1)}^{2} } dx - ∫ \frac{ {e}^{x} }{ {(x + 1)}^{2} } dx \\ \\ = \frac{ {e}^{x} }{x + 1} + c$

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