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(i) Find the area bounded by y = 3x +2, ...

(i) Find the area bounded by `y = 3x +2,` the x-axis and the ordinates `x =-2 and x =1.`
(ii) Find the area bounded by `y=x,` the x-axis and the line `x =-1 and x=2.`

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The correct Answer is:
`(41)/(6)` sq. units (ii) `5/2` sq. units
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MODERN PUBLICATION-APPLICATIONS OF THE INTEGRALS -EXERCISE 8 (A)
  1. Using integration, find the area bounded between the parabola x ^(2) =...

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

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  3. (i) Find the area bounded by y = 3x +2, the x-axis and the ordinates x...

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  4. (i) y = x ^(4) , x =1, x =5 and x-axis (ii) y= x ^(2) , x =0, x =2 a...

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  7. Find the area under the curve y =(x^2 + 2)^2 + 2x between the ordinate...

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  8. Find the area of the region in the first quadrant enclosed by x-axis,...

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  9. Prove that area of the smaller part of the cirlce x ^(2) + y ^(2) =a ^...

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  10. Determine the area under the curve y=sqrt(a^(2)-x^(2)) included betwee...

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  11. Determine the area enclosed between the curve y= cos 2x, 0 le x le (pi...

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  12. Calculate the area bounded by the curve: f (x)= sin ^(2) "" (x)/(2),...

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  13. Draw a rough sketch of the curve y = cos^2 x in [0, 1] and find the ar...

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  14. (i) Make a rough sketch of the graph of the function y = sin x, 0 le x...

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  15. Make a rough sketch of the graph of the function y =2 sin x, 0 le x le...

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  16. (i) Draw a rough sketch of y = sin 2x and determine the area enclosed...

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  17. Make a rough sketch of the graph of y = cos ^(2) x, 0 le x le (pi)/(2)...

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  18. Find the area bounded by the cirxle x^2+y^2 =16 and the line y=x in th...

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  19. Find the area of the smaller part of the circle x^2+y^2=a^2cut off by...

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  20. Find the area under the given curves and given lines:(i) y=x^2,x = 1,...

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