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Evaluate int(0)^(1)x(1-x)^6dx...

Evaluate `int_(0)^(1)x(1-x)^6dx`

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Verified by Experts

The correct Answer is:
A, B, D
Consider function `f(x)=1/(sqrt(x))` for `1lt x lt 121`

Clearly `p gt int_(1)^(121)1/(sqrt(x))dx=20`

and `q lt int_(1)^(121)1/(sqrt(x))dx=20`
`:.p-20gt20-q`
`implies p+qgt40`
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  13. The values of a for which the integral int0^2|x-a|dxgeq1 is satisfied ...

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  14. If f(x)=int(0)^(x)|t-1|dt, where 0lexle2, then

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  15. Evaluate int(0)^(1)x(1-x)^3dx

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  18. IfIn=int0^1(dx)/((1+x^2)^n),w h e r en in N , which of the following...

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  19. L e tf:[1,oo)vecRa n df(x)=int1^x(e^t)/t dt-e^xdotT h e n f(x) is an ...

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