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Let F(x)=int(0)^(x)(cos t)/((1+t^(2)))dt...

Let `F(x)=int_(0)^(x)(cos t)/((1+t^(2)))dt, 0 le x le 2 pi`. Then

A

F is increasing in `((pi)/(2),(3pi)/(2))` and decreasing in `(0,(pi)/(2))` and `((3pi)/(2),2pi)`

B

F is increasing in `(0,pi)` and decreasing in `(pi, 2pi)`

C

F is increasing `(pi,2pi)` and decreasing in `(0, pi)`

D

F is increasing in `(0, (pi)/(2))` and `((3pi)/(2), 2pi)` and decreasing in `((pi)/(2), (3pi)/(2))`

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WB JEE PREVIOUS YEAR PAPER-QUESTION PAPER 2013-MULTIPLE CHOICE QUESTIONS
  1. A line passing through the point of intersection of x+y=4 and x-y=2 ma...

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  2. Let [a] denote the greatest integer which is less than or equal to a. ...

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  3. If P=((2,-2,-4),(-1.3,4),(1,-2,-3)), then P^(5) equals.

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  4. If sin^(2)theta+3cos theta=2, then cos^(3)theta + sec^(3)theta is

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  5. Let x=1+(1)/(2xx|ul(1))+(1)/(4xx|ul(2))+(1)/(8xx|ul(3))+……. and y=...

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  6. The value of the infinite series (1^(2)+2^(2))/(|ul(3))+(1^(2)+2^(2)+3...

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  7. The value of the integral int((pi)/(6))^((pi)/(3))((sin x-x cos x))/(x...

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  8. Let f(x)=x((1)/(x-1)+(1)/(x)+(1)/(x+1)), x gt 1. Then

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  9. Let F(x)=int(0)^(x)(cos t)/((1+t^(2)))dt, 0 le x le 2 pi. Then

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  10. Find the area of the region bounded by the curve y = x^(2) and the lin...

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  11. Let P be a point on the parabola y^(2)=4ax with focus F. Let Q denote ...

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  12. An objective type test paper has 5 questions. Out of these 5 questions...

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  13. A family of curves is such that the length intercepted on the y-axis b...

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  14. The solution of the differential equation (y^(2)+2x)(dy)/(dx)=y satisf...

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  15. The solution of the differential equation (dy)/(dx)=e^(x-y)+1 is

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  16. The area of the region enclosed between parabola y^(2)=x and the line ...

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  17. Consider the system of equations : x+y+z=0 alpha x+beta y+gamm...

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  18. The equations of the circles which touch both the axes and the line 4x...

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  19. Which of the following real valued functions is/are not even functions...

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  20. Let sin alpha, cos alpha be the roots of the equations x^(2)-bx+c=0. T...

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