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Draw a rough sketch of the curves y=x an...

Draw a rough sketch of the curves y=x and `y=x^3`.

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BODY BOOKS PUBLICATION-APPLICATION OF INTEGRALS-EXERCISE
  1. Using integration find the area of the region bounded by the curves y=...

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  2. Draw a rough sketch of the region enclosed by y^2=x and x+y=2.

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  3. Draw a rough sketch of the curves y=x and y=x^3.

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  4. Draw a rough sketch of the curves y=sinx and y=cosx as 'x' varies from...

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  5. Find the points of intersection of the parabola y^2=8x and the line y=...

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  6. Find the area of the region bounded by the curve y=|x| and the x-axis ...

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  7. Find the area bounded by the curve y=cos x between x=0 and x=2 pi

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  8. Choose the correct answer. Smaller area enclosed by the circle x^2+y^2...

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  9. Find the area of a circle of radius r, by integration.

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  10. Find the area of the circle , x^2+y^2=16 which Is exterior to par...

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  11. The area of the triangular region whose sides are y = 2x +1, y = 3x + ...

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  12. Choose the correct answer. Area of the region bounded by the curvey^2=...

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  13. The area between x=y^2 and x=4 is divided into two equal parts by the...

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  14. Sketch the graph of y=|x+3|and evaluate overset0underset(-6)int|x+3|dx...

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  15. Find the area lying above x-axis and included between the circle x^2+y...

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  16. Find the area of the region bounded by the y^2=4ax and x^2=4ay, a>0

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

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  18. Draw the graph of the function y=x^2 and x=y^2 in a coordinate axis.

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  19. Consider the functions f(x)=sinx and g(x)=cosx in the interval [0,2pi]...

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  20. Consider the functions f(x) = sin x and g(x) = cos x in the interval ...

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