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$\int x^{6} {(2 x + x^{7})}^{5} d x =_____$

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162+x677−2+x666+C

132+x677−2+x666+C

142+x677−2+x666+C

162+x677−2+x663+C

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detailed solution

Correct option is D

∫x62x+x75dx=∫x6x52+x65dx2+x6=t⇒6x5dx=dt=16∫(t−2)t5dt=16t77−t63+C=162+x677−2+x663+C

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∫x62x+x75dx=_____

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$\int x^{6} {(2 x + x^{7})}^{5} d x =_____$