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First Fundamental Theorem of Calculus

∫ e x +1/x1+ ...

Question

$\int e^{(x + \frac{1}{x})} (1 + x - \frac{1}{x}) d x = e^{(x + \frac{1}{x})} f (x) + c t h e n \frac{d f (x)}{d x}$

A

x

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B

0

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C

1

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D

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Solution

The correct option is C
1

$\int e^{x + \frac{1}{x}} + x e^{x + \frac{1}{x}} (1 - \frac{1}{x^{2}}) d x = x e^{x + \frac{1}{x}} + c$

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First Fundamental Theorem of Calculus

Standard XII Mathematics

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