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If y=x(x4+x+1), evaluate \(\int \limits_{0} ^{1}&...

If y=x(x4+x+1), evaluate 10ydx.

A.

1112

B.

1

C.

56

D.

zero

Correct answer is B

y=x(x4+x+1)=x5+x2+x

10(x5+x2+x)dx=x66+x33+x22

= [x66+x33+x22]10

= 16+13+12

= 1