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If {:(f(x)=x", ...."x lt 1),(" ...

If `{:(f(x)=x", ...."x lt 1),(" "=x-1", ...." x ge 1","):}`
then : `int_(0)^(2)x^(2)f(x)dx=`

A

1

B

`(4)/(3)`

C

`(5)/(3)`

D

`(5)/(2)`

Text Solution

Verified by Experts

The correct Answer is:
C
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  10. If int(0)^(1)f(x)dx=1, int(0)^(1)x f(x)dx=a and int(0)^(1)x^(2)f(x)dx=...

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  11. If int(0)^(a)(1)/(1+4x^(2))dx=(pi)/(8), then a =

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  12. int(0)^(pi//2)((pi)/(4)-x)/(sqrt(sin x)+ sqrt(cos x))dx=

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  13. int(-pi//2)^(pi//2)sin (|x|)dx=

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  14. int(-pi//2)^(pi//2)(1)/(1+e^(sin x))dx=

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  15. The value of the definite integral int0^1(1/(x^2+2xcosalpha+1))dx for ...

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  17. int(1)^(e )x^(x)dx+ int(1)^(e )x^(x)log x dx=

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  18. If I(1)=int(0)^(pi//2) x sin x dx and I(2) = int(0)^(pi//2) x cos x d...

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  19. int(-10)^(10)log((a+x)/(a-x))dx=

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