The integral is equal to

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

Problem

The integral ∫(1+x−1x)ex+1xdx\int \left( 1 + x - \frac{1}{x} \right) e^{x + \frac{1}{x}} dx is equal to (1) (x−1)ex+1x+C(x-1)e^{x + \frac{1}{x}} + C (2) xex+1x+Cxe^{x + \frac{1}{x}} + C (3) (x+1)ex+1x+C(x+1)e^{x + \frac{1}{x}} + C (4) −xex+1x+C-xe^{x + \frac{1}{x}} + C

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