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

The value of `int_(1/e)^(tanx)(tdt)/(1+t^2)+int_(1/e)^(cotx)(dt)/(t(1+t^2)),` where `x in (pi/6,pi/3)` , is equal to: 0 (b) 2 (c) 1 (d) none of these

A

0

B

2

C

1

D

cannot be determined

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Verified by Experts

The correct Answer is:
C
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RESONANCE ENGLISH-DEFINITE INTEGRATION & ITS APPLICATION -Exercise 2 Part - 1
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  3. If f(x) = int(0)^(x)(2cos^(2)3t+3sin^(2)3t)dt, f(x+pi) is equal to :

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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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  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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  15. P(2,2), Q(-2,2) R(-2,-2) & S(2,-2) are vertices of a square. A para...

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  16. The ratio in which the curve y = x^(2) divides the region bounded by ...

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  18. The area bounded by the curves y=x e^x ,y=x e^(-x) and the line x=1 is...

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  19. Find the area of the region enclosed by the curves y=xlogx and y=2x-2x...

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  20. The area of the region on place bounded by max (|x|,|y|) le 1/2 is

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