Question

find the value

$\int$ ${e}{log(sinx)}$

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Answer 1

Question:-

Find the value of

$\sf \large\int e ^{log(sin \: x)} .$

Given:-

$\sf \large \int e^{log(sin \: x)} .$

To Find:-

$\sf \large The \: value \: of \int e ^{log(sin \: x)} .$

Solution:-

For a function f(x),

$\sf \large e ^{log} (f(x)) = f(x).$

Therefore,

$\sf \large e ^{log(sin \: x)} = sin \: x. \\ \\ \sf \large \int sin \: x \: dx = - cos \: x + c.$

Answer:-

$\sf \large \color{red} \int {}^{log(sin \: x)} = - cos \: x + c.$

Hope you have satisfied. ⚘