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Find the area of the region lying in th...

Find the area of the region lying in the first quadrant and bounded by `y=4x^2`,`x = 0, y = 1 a n d y = 4`.

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RD SHARMA ENGLISH-APPLICATION OF INTEGRALS-All Questions
  1. Examples: Find the area of the region bounded by the curve y^2 = 2y - ...

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

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

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

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

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

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

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

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

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

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

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  12. Evaluateintcos2x+e^x\dx

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

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

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

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

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  17. Prove that the curves y^2=4x and x^2=4y divide the area of square b...

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  18. Find the area bounded by the curve 4y^2=9x and 3x^2=16 y

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

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  20. Find the area bounded by the curves y=4-x^2 and the lines y=0andy=3

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