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Compare the areas under the curves y=cos...

Compare the areas under the curves `y=cos^2x\ a n d\ y=sin^2x` between `x=0\ a n d\ x=pidot`

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RD SHARMA ENGLISH-APPLICATION OF INTEGRALS-All Questions
  1. Find the area bounded by the curve y=cos x ,\ x-axis and the ordinate...

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  2. Show that the areas under the curves y=sinx\ a n d\ y=sin2x between x=...

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  3. Compare the areas under the curves y=cos^2x\ a n d\ y=sin^2x between x...

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  4. Find the area bounded by the ellipse (x^2)/(a^2)+(y^2)/(b^2)=1and th...

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  5. Examples: Find the area of the region bounded by the curve y^2 = 2y - ...

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  6. Find the area bounded by the curve y^2=4a x and the lines y=2\ a n d\ ...

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  7. Find the area of the region lying in the first quadrant and bounded b...

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  8. Find the area of the region bounded by x^2=16 y ,\ y=1,\ y=4 and the y...

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  9. Find the area of the region bounded by x^2=4a y and its latus rectum.

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  10. Find the area enclosed between the parabola 4y=3x^2 and the straight l...

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  11. Find the area bounded by the curve x^2=4y and the straight line x=4y-2...

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  12. Find the area enclosed between the parabola y^2=4a xand the line y = ...

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  13. Find the area of the region bounded by the curves y=x^2+2, y=x ,x=0,a ...

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  14. Find the area of the region bounded by y=sqrt(x)a n dy=xdot

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  15. Find the area of the region {(x , y): x^2lt=ylt=|x|}dot

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  16. Evaluateintcos2x+e^x\dx

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  17. Find the area of the smaller region bounded by the ellipse (x^2)/(a^2...

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  18. Find the area of the region {(x , y): x^2+y^2lt=1lt=x+y}dot

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  19. Find dy/dx if y=sin^2x

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  20. Find the area of the region enclosed between the two circles x^2 + y^2...

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