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The area of the region between the curve...

The area of the region between the curves `y= sqrt((1+sinx)/(cosx))and y = sqrt((1-sinx)/(cosx))` bounded by the lines `x = 0 and x = pi/4` is

A

`int_(0)^(sqrt2-1)1/((1+t^(2))sqrt(1-t^(2)))dt`

B

`int_(0)^(sqrt2-1)(4t)/((1+t^(2))sqrt(1-t^(2)))dt`

C

`int_(0)^(sqrt2+1)(4t)/((1+t^(2))sqrt(1-t^(2)))dt`

D

`int_(0)^(sqrt2-1)t/((1+t^(2))sqrt(1-t^(2)))dt`

Text Solution

Verified by Experts

The correct Answer is:
B
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ML KHANNA-AREA OF CURVES-SELF ASSESSEMENT TEST
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  2. The value(s) ofint(0)^(1)(x^(4)(1-x)^(4))/(1+x^(2)) dx is (are)

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  3. The value of the integral overset(pi//2)underset(-pi//2)int{x^(2)+lo...

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  4. The value of int (sqrt ( log 2 )) ^(sqrt( log 3 )) (x sin x ^(2))/( si...

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  5. int(0)^(pi)[cotx]dx, where [.] denotes the greatest integer function, ...

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  6. Let p(x) be a function defined on R such that p'(x)=p'(1-x) for all x ...

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  7. If g(x)=int(0)^(x)cos^(4)t dt, then g(x+pi) equals

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  8. Let f be a non-negative function defined on the interval[0,1]. If int(...

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  9. Let the straight line x = b divide the area enclosed by y = (1-x)^(2),...

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  10. The area of the region bounded by the parabola (y-2)^(2) = x- 1, the t...

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  11. Let f : [-1, 2]to [0, oo) be a continuous function such that f(x)=f(1...

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  12. The area of the region enclosed by the curves y=x, x=e,y=(1)/(x) and t...

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  13. The area bounded by the curves y = cos x and y = sin x between the ord...

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  14. The value of underset(xrarr0)(lim)(1)/(x^(3)) int(0)^(x)(tln(1+t))/(t^...

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  15. Let S be the area of the region enclosed by y=e^-x^2,y=0,x=0,a n dx=1....

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  16. For any real number x, let [x]= largest integer less than or equalto x...

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  17. The area (in square units) bounded by the curves y=sqrt(x),2y-x+3=0, x...

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