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The value of the integral l = int(0)^(1...

The value of the integral ` l = int_(0)^(1) x(1-x)^(n) dx` is

A

`1/(n+1)`

B

`1/(n+2)`

C

`1/(n+1)-1/(n+2)`

D

`1/(n+1)+1/(n+2)`

Text Solution

Verified by Experts

The correct Answer is:
C
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TARGET PUBLICATION-DEFINITE INTEGRALS-COMPETITIVE THINKING
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  3. The value of the integral l = int(0)^(1) x(1-x)^(n) dx is

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  7. The value of integral int (1//pi)^(2//pi)(sin(1/x))/(x^(2))dx=

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  9. If I(n) = int (0)^(pi//4) tan^(n) theta " " d theta, "then "I(8)+I(6)=

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  10. If g(1)=g(2), then int(1)^(2)[f{g(x)}]^(-1)f'{g(x)}g'(x)dx is equal to

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  11. If int(0)^(k)(dx)/(2+18x^(2))=(pi)/(24), then the value of k is

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  12. int(-1)^(0) (dx)/(x^(2) + 2x + 2 ) is equal to

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  13. The value of int(0)^(1)(x^(2))/(1+x^(2))dx is

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  14. The value of int0^1 (x^4+1)/(x^2+1)dx is

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  15. int (0)^(3) (3x+1)/(x^(2)+9) dx =

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  16. The value of int0^1(x^4(1-x)^4)/(1+x^2)\ dx is

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  17. int0^1sqrt((1-x)/(1+x))dx

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  19. Evaluate the following : int(0)^(pi//2)(1)/(a^(2)sin^(2)x+b^(2)cos^...

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  20. int(0)^(1//2)(dx)/((1+x^(2))sqrt(1-x^(2))) is equal to

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