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Sketch the curves and identity the regio...

Sketch the curves and identity the region bounded by `x=1/2,x=2,y=lnx ,a n dy=2^xdot` Find the area of this region.

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CENGAGE PUBLICATION-APPLICATION OF INTEGRALS-All Questions
  1. Draw a rough sketch of the curve y=(x-1)^2(x-2)(x-3)^3

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  2. Find the area bounded by (a) y = (log)e|x|a n dy=0 (b) y=|(log)e|x|...

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  3. Sketch the curves and identity the region bounded by x=1/2,x=2,y=lnx ,...

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  4. Sketch the region bounded by the curves y=x^(2) and y=(2)/(1+x^(2)). F...

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  5. Find the area of the region bounded by the curve C : y=tan x ,tangent ...

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  6. Compute the area of the region bounded by the curves y=e x(log)e xa n ...

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  7. A O B is the positive quadrant of the ellipse (x^2)/(a^2)+(y^2)/(b^2)=...

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  8. Find the area bounded by the curves y=sin x and y=cos x between two co...

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  9. In what ratio does the x-axis divide the area of the region bounded by...

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  10. Consider a square with vertices at (1,1)(-1,1)(-1,-1)and(1,-1). Let S ...

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  11. Find the area bounded by y=x^3-x and y=x^2+xdot

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  12. Find the area lying above x-axis and included between the circle x^(2...

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  13. Consider the region formed by the lines x=0,y=0,x=2,y=2. If the area e...

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  14. Find the area bounded by the curve y=(x-1)(x-2)(x-3) lying between the...

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  15. Find the area bounded by the parabola y=x^2+1 and the straight line x+...

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  16. Find the area of the closed figure bounded by the curves y=sqrt(x),y=s...

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  17. Find the area of the smaller part of the circle x^(2) + y^(2) = a^(2) ...

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  18. Column I, Column II Area enclosed by y=[x]a n dy={x}, where [.] ...

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  19. The area enclosed by the curve c : y=xsqrt(9-x^2) (xgeq0) and the x-ax...

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  20. The area bounded by the curves y=x(x-3)^2a n dy=x is (in sq. units)

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