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int0^sqrt2 [x^2]dx...

`int_0^sqrt2 [x^2]dx`

A

`2- sqrt2`

B

`2+ sqrt2`

C

`sqrt2-1`

D

`sqrt2-2`

Text Solution

Verified by Experts

The correct Answer is:
C
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MCGROW HILL PUBLICATION-DEFINITE INTEGRALS-Questions from Previous Years. AIEEE/ JEE Main Papers
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  5. Let f(x) be a function satisfyingf'(x)=f(x) withf(0) =1 and g(x) be a ...

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  6. If f(y)=e^y,g(y)=y,y>0, and F(t)=int0^t f(t-y)g(y) dy, then

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  8. The value of the integral l = int(0)^(1) x(1-x)^(n) dx is

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  9. The value of lim(xto0) (int(0)^(x^2)sec^2t dt)/(x sin x) dx , is

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  10. The value of int(-2)^3 |1-x^2|dx

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  11. The value of int (0)^(pi//2) ((sin x + cos x)^(2))/(sqrt(1+sin 2x) dx...

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  12. If int(0)^(pi) x f (sin x) dx = A int (0)^(pi//2) f(sin x) dx , then A...

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  13. Iff(x)=(e^x)/(1+e^x),I1=int(f(-a))^(f(a))xg(x(1-x)dx ,a n d I2=int(f(...

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  14. Evaluate: ("lim")(nvecoo)[1/(n^2)sec^2 1/(n^2)+2//n^2sec^2 4/(n^2)++1/...

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  15. Let f: RvecR be a differentiable function having f(2)=6,f^(prime)(2)=1...

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  16. If I(1)=overset(1)underset(0)int 2^(x^(2)) dx, I(2)=overset(1)underset...

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  17. The value of int(-pi)^(pi)(cos^(2)x)/(1+a^(x)dx where agt 0, is

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  18. The value of the integral int3^6 sqrtx/(sqrt(9-x)+sqrtx)dx is

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  19. overset(-pi//2)underset(-3pi//2)int{(x+pi)^(3)+cos^(2)(x+3pi)}dx, is

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  20. The integral underset(0)overset(pi)int x f(sinx )dx is equal to

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