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int(0)^(2)[x^(2)] dx =...

`int_(0)^(2)[x^(2)] dx =`

A

`3`

B

`8//3`

C

`5 - sqrt(2) - sqrt(3)`

D

None of these

Text Solution

Verified by Experts

The correct Answer is:
C
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MODERN PUBLICATION-DEFINITE INTEGRALS-RECENT COMPETITIVE QUESTIONS
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  7. int0^(pi//4) (sin x + cos x)/(3 + sin 2x ) dx =

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  11. int0^pi (cos^4 x)/(cos^4 x + sin^4 x) dx =

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  12. If f(x) = f(pi + e - x) and inte^(pi) f(x) dx = 2/(e + pi), then inte^...

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  13. The value of the integral int(-pi//4)^(pi//4)log(sec theta-tan theta...

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  14. The interval I such that int0^1 (dx)/(sqrt(1 + x^4)) in I is given by ...

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  15. int0^(pi//2) log(tan x)dx =

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  16. The value of int(-2)^(2)(ax^(3)+bx+c) dx depends on the

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  17. int(0)^(pi//4)log ((sin x +cos x )/(cosx))dx is equal to

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  18. int(-pi//4)^(pi//4)(dx)/(1+cos 2x) is equal to

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  19. int(-1)^(1) (x^(27) cos x + e^x) dx =

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  20. The value of the integral int0^pi (x sin^(2n) x)/(sin^(2n) x + cos^(2n...

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  21. If int0^(pi) x f (sin x) dx = A int0^(pi//2) f (sin x) dx, then A is :

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