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(i) Find the area of the region given by...

(i) Find the area of the region given by: `{(x,y):x^2leyle|x|}`.

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PRADEEP PUBLICATION-APPLICATIONS OF INTEGRALS-EXERCISE
  1. (i) Find the area of the region given by: {(x,y):x^2leyle|x|}.

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  2. Using integration, find the region bounded by the line 2y=-x+8, x-axis...

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  3. Using integration, find the area of the region bounded by the line y -...

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  4. Make a rough sketch of the graph of the function f(x)= 9-x^2, 0lexle3 ...

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  5. Sketch the rough graph of y = 4sqrt(x-1), 1 le x le3 and complete the ...

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  6. Draw rough sketch of the function y = 2sqrt(1-x^2), x in [0,1] and eva...

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  7. Find the area enclosed between the curve y ^2= 8x and the line x= 2.

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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