e^-x( x + ^2 x)dx = Option 1: e^-x x + c, where c is an arbitrary constant. Option 2: -e^-x x + c, where c is an arbitrary constant. Option 3: -e^-x^2 x + c, where c is an arbitrary constant. Option 4: e^-x^2 x + c, where c is an arbitrary constant.

The answer is '-e^-x x + c, where c is an arbitrary constant.'. View full solution:

-e^-x x + c, where c is an arbitrary constant.

e^-x x + c, where c is an arbitrary constant.

-e^-x x + c, where c is an arbitrary constant.

-e^-x^2 x + c, where c is an arbitrary constant.

e^-x^2 x + c, where c is an arbitrary constant.

Calculus > Integrals

Medium

core

$\int e^{-x}(\cot x + \cosec^2 x)dx =$

$e^{-x}\cot x + c$ , where $c$ is an arbitrary constant.

$-e^{-x}\cot x + c$ , where $c$ is an arbitrary constant.

$-e^{-x}\cosec^2 x + c$ , where $c$ is an arbitrary constant.

$e^{-x}\cosec^2 x + c$ , where $c$ is an arbitrary constant.

✅ Correct Option: 2

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