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Make a rough sketch of the functionn y= ...

Make a rough sketch of the functionn `y= x^2, 0 lex le 3` and determine the area enclosed between the curve, the x-axis and the line x= 3.

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PRADEEP PUBLICATION-APPLICATIONS OF INTEGRALS-EXERCISE
  1. Find the area enclosed between the curve y ^2= 8x and the line x= 2.

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  2. Find the area of the regionn bounded by the curve y^2=x, the x-axis an...

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  3. Make a rough sketch of the functionn y= x^2, 0 lex le 3 and determine ...

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  4. Find the area of the regionn bounded by the curve x^2= 4y, the y-axis ...

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  5. Make a rough sketch of the graph of the function y = 4-x^2, 0 le xle 2...

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  6. Sketch the graph of the curve y= sqrtx+ 1 in the interval [0,4] and de...

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  7. Make a rough sketch of the curve y = 2 sin x, 0 le x le pi, and deter...

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  8. (ii) Draw the graph of y=cos 3x, 0lexlepi/6 and find the area between ...

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  9. (i) Make a rough sketch of the graph of the function y=sin x,0lexlepi/...

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  10. Make a rough sketch of the graph of the function y = cos^2x, 0le xle p...

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  11. Using integration find the area of the region bounded by the triangle ...

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  12. Using integration find the area of region bounded by the triangle wher...

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  13. Using integration find the area of region bounded by the triangle whos...

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  14. Using integration find the area of region bounded by the triangle wher...

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  15. Using integration find the area of the circle x^2+y^2= r^2.

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  16. Sketch the region {(x,y):4x^2+9y^2=36} and find its area using integra...

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  17. Make a rough sketch of the curve x^2/4+y^2/9=1 and find the area und...

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  18. Make a rough sketch of the curve x^2/4+y^2/9=1 and find the area enc...

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  19. Find the area between the curve x^2/a^2+y^2/b^2=1 and the x-axis betwe...

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  20. Calculate the area enclosed by the curve x^2/a^2 +y^2/b^2= 1.

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