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If f(x) is a function such that f'(x)=`(x-1)^2 (4-x)`, then

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CENGAGE PUBLICATION-APPLICATION OF INTEGRALS-All Questions
  1. The area of the region bounded by the curves y=x^(2),y=|2-x^(2)| and y...

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  2. If [(4a^2,4a, 1),(4b^2, 4b,1), (4c^2, 4c, 1)] [(f(-1)),(f(1)),(f(2))] ...

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  3. If f(x) is a function such that f'(x)=(x-1)^2 (4-x), then

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  4. The area bounded by the curves y=|x|-1a n dy=-|x|+1 is 1 sq. units (b)...

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  5. If the area bounded by the curve y=f(x), x-axis and the ordinates x=1 ...

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  6. The area bounded by the parabolas y=(x+1)^2 and y=(x-1)^2a n dy=(x-1)^...

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  7. The area bounded by the curves y=sqrt(x),2y+3=x , and x-axis in the 1s...

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  8. Find the area bounded by y=tan^(-1)x , y=cot^(-1)x ,and y-axis in the...

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  9. the equation to the director circle of (x^2)/6+(y^2)/4=1 is

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  10. Find the area bounded by y=loge x , y=-loge x ,y=loge(-x),a n dy=-loge...

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  11. The area of region for which 0 lt y lt 3 - 2x-x^2 and x gt 0 is

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  12. The area common to regions x^2+y^2-2xlt=0 and ygeq sin (pix/2)

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  13. Draw the rough sketch of the curve y=x^(4)-x^(2).

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  14. f(x) is a continuous and bijective function on Rdot If AAt in R , the...

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  15. Find the continuous function f where (x^4-4x^2)lt=f(x)lt=(2x^2-x^3) su...

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  16. Find the area bounded by the curves y=-x^2+6x-5,y=-x^2+4x-3, and the s...

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  17. Find the value of a where (a >2) for which the reciprocal of the area ...

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  18. if A1,A2,A3,....A100 are set of A1 sub A2 sub A3 sub A4.....sub A100 n...

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  19. Draw the rough sketch of y^2+1=x ,\ xlt=2. Find the area enclosed by t...

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  20. Each question has four choices a,b,c and d, out of which only one i...

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