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Question

The value of the integral (x2+x)(x8+2x9)1/10 dx is


A

511(x2+2x)11/10+c

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B

56(x+1)11/10+c

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C

67(x+1)11/10+c

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D

None of these

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Solution

The correct option is A

511(x2+2x)11/10+c


(x2+x)(x8+2x9)1/10dx=(x+1)(x2+2x)1/10dx
Now put x2+2x=t(x+1)dx=dt2
t1/10.dt2=12×1011t11/10=511t11/10+c
511(x2+2x)11/10+c


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