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Evaluate: int(-1/2)^(1/2)[((x+1)/(x-1))^...

Evaluate: `int_(-1/2)^(1/2)[((x+1)/(x-1))^2+((x-1)/(x+1))^2-2]^(1/2)dx`

A

`log((4)/(3))`

B

`4log((3)/(4))`

C

`4log((4)/(3))`

D

`log((3)/(4))`

Text Solution

Verified by Experts

The correct Answer is:
C
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OBJECTIVE RD SHARMA ENGLISH-DEFINITE INTEGRALS-Exercise
  1. Choose the correct answer The value of the integral int1/3 1((x-x^3)^(...

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  2. Evaluate: int0^(100pi)sqrt((1-cos2x))dxdot

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  3. Evaluate: int(-1/2)^(1/2)[((x+1)/(x-1))^2+((x-1)/(x+1))^2-2]^(1/2)dx

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  4. The value of the integral int(1//e)^(e) |logx|dx, is

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  5. The value of int(0)^(pi//2) (sin 8x log cot x)/(cos 2x)dx, is

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  6. The value of int(0)^(pi//2) x^(10) sin x" dx", is then the value of m...

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  7. T h ev a l u eofint0^(pi/2)(dx)/(1+tan^3x)i s 0 (b) 1 (c) pi/2 (d...

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  8. The value of int0^pi (sin(n+1/2)x)/(sin (x/2)) dx is, (a) n in I, n >...

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  9. If (d(f(x)))/(dx) = g(x) AA x in [a, b] then int(a)^(b)f(x).g(x)dx is ...

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  10. For any integer n,the integral overset(pi)underset(0)int e^(sin^(2)x)c...

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  11. The value of the integral int(0)^(3) sqrt(3+x^(3))dxlies in the inter...

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  12. The value of the integral int(0)^(1) (1)/((1+x^(2))^(3//2))dx is

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  13. If I = int(0)^(2pi)sin^(2)xdx, then

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  14. If int(0)^(1) f(x)=M,int(0)^(1) g(x)dx=N, then which of the following ...

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  15. The value of int( 0)^(pi//4) (pix-4x^(2))log(1+tanx)dx is

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  16. The value of int(-pi//2)^(pi//2) sin{log(x+sqrt(x^(2)+1)}dx is

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  17. The value of int(0)^(2pi) cos^(99)x dx, is

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  18. If f(a+x)=f(x), then int(0)^(na) f(x)dx is equal to (n in N)

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  19. If f(t) is an odd function, then prove that varphi(x)=inta^xf(t)dt is ...

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  20. If f(x) is an integrable function over every interval on the real line...

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