Question

Evaluate The Following Definite Integrals As Limit Of Sums:-
$\green{\boxed{\boxed{\boxed{ \red{\displaystyle \tt \leadsto\int_{a}^{b} \cos (x) \: d x}}}}}$
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Answer 1

$\sf\underline\red{Question:-}$

$\: \: \: \: \bullet{ \: \displaystyle \tt \int_{a}^{b} \cos (x) \: d x}$

$\sf\underline\red{Solution:-}$

Apply the cos rule :

$\longmapsto \rm{ \displaystyle\int \sf \cos(x)dx = \sin(x) }$

So, we get :-

$\longmapsto \rm \fbox{sin(b) = - sin(a)}$

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@Shivam

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