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The area bounded by the curve f(x)=x+sin...

The area bounded by the curve `f(x)=x+sinx` and its inverse function between the ordinates `x=0a n dx=2pi` is `4pis qdotu n i t s` (b) `8pis qdotu n i t s` `4s qdotu n i t s` (d) `8s qdotu n i t s`

A

`4 pi`

B

`8 pi`

C

`4`

D

8

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The correct Answer is:
D
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RESONANCE ENGLISH-DEFINITE INTEGRATION & ITS APPLICATION -Exercise 2 Part - 1
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  4. Let f(x) = int(0)^(x)(dt)/(sqrt(1+t^(2))) and g(x) be the inverse of ...

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  5. Let f(x) is differentiable function satisfying 2int(1)^(2)f(tx) dt ...

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  6. Let I(n) = int(0)^(1)x^(n)(tan^(1)x)dx, n in N, then

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  7. If u(n) = int(0)^(pi/2) x^(n)sinxdx, then the value of u(10) + 90 u(8...

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  8. The value of int(1/e)^(tanx)(tdt)/(1+t^2)+int(1/e)^(cotx)(dt)/(t(1+t^2...

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  9. Let A(1) = int(0)^(x)(int(0)^(u)f(t)dt) dt and A(2) = int(0)^(x)f(u).(...

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  10. The value of underset (nrarrinfty)(lim)("sin"(pi)/(2n)."sin"(2pi)/(2n)...

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  11. Area bounded by the region consisting of points (x,y) satisfying y le ...

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  12. The area enclosed between the curves y=log(e)(x+e),x=log(e)((1)/(y)), ...

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  13. The area enclosed by the curves x=a sin^(3)t and y= a cos^(2)t is equa...

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  14. The area bounded by the curve f(x)=x+sinx and its inverse function bet...

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  17. If f(x)=sinx ,AAx in [0,pi/2],f(x)+f(pi-x)=2,AAx in (pi/2,pi]a n df(x)...

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