∫_(π/3) ^(3π/2) [ 2 cos x ] dx =


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Question Number 54378 by ngo last updated on 02/Feb/19

$\underset{π / 3}{\int^{3 π / 2}} [2 \cos x] d x =$
Commented by tanmay.chaudhury50@gmail.com last updated on 03/Feb/19

Commented by tanmay.chaudhury50@gmail.com last updated on 03/Feb/19

Commented by tanmay.chaudhury50@gmail.com last updated on 03/Feb/19

$w i t h t h e h e l p o f g r a p h t r y i n g t o s o l v e . . .$ $\int_{\frac{π}{3}}^{\frac{π}{2}} [2 c o s x] d x + \int_{\frac{π}{2}}^{\frac{2 π}{3}} [2 c o s x] d x + \int_{\frac{2 π}{3}}^{\frac{4 π}{3}} [2 c o s x] d x + \int_{\frac{4 π}{3}}^{\frac{3 π}{2}} [2 c o s x] d x$ $= 0 + (- 1) (\frac{2 π}{3} - \frac{π}{2}) + (- 2) (\frac{4 π}{3} - \frac{2 π}{3}) + (- 1) (\frac{3 π}{2} - \frac{4 π}{3})$ $= (- 1) (\frac{π}{6}) + (- 2) (\frac{2 π}{3}) + (- 1) (\frac{π}{6})$ $= - \frac{π}{3} - \frac{4 π}{3} = \frac{- 5 π}{3}$ $p l s c h e c k . . . .$
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