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Question

The value of the integral I = 10x(1x)n dx is

A
1n+1
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B
1n+2
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C
1n+11n+2
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D
1n+1+1n+2
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Solution

The correct option is C 1n+11n+2
l=10x(1x)6ndx
l=10(1x)xndx
(a0f(x)dx=a0f(ax)dx)
l=(xn+1n+1xn+2n+2)10
l=1n+11n+2

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