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The area of the region bounded by the cu...

The area of the region bounded by the curve y = x + 1 and the lines `x=2, x=3,` is

A

`7/2"sq units"`

B

`9/2" sq unit "`

C

`11/2 " sq unit"`

D

`13/2" sq units"`

Text Solution

Verified by Experts

Required area, `A=int_(2)^(3)(x+1)dx=[x^(2)/2+x]_(2)^(3)`
`=[9/2+3-4/2-2]=[5/2+1]=7/2" sq units"`
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NCERT EXEMPLAR ENGLISH-APPLICATION OF INTEGRALS-Objective Type Questions
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  2. Find the area of the region in the first quadrant enclosed by the y-ax...

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  5. The area of the region bounded by the curve y = "sin" x between the or...

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  6. The area of the region bounded by the ellipse (x^(2))/25+y^(2)/16=1 is

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  7. The area of the region by the circle x^(2)+y^(2)=1 is

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  8. The area of the region bounded by the curve y = x + 1 and the lines x=...

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  9. The area of the region bounded by the curve x=2y+3 and the lines y=1, ...

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  10. The area of the region bounded by the Y-"axis" y = "cos" x and y = "si...

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  11. Using integration, find the area bounded by the curve x^2=4y and the l...

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  12. The area of the region bounded by the curve y=sqrt(16-x^(2)) and X-axi...

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  13. Area of the region in the first quadrant exclosed by the X-axis, the l...

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  14. Area of the regionbounded by the curve y = "cos" x between x = 0 and x...

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  15. The area of the region bounded by parabola y^(2)=x and the straight li...

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  16. The area of the region bounded by the curve y = "sin" x between the or...

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  17. The area of the region bounded by the ellipse (x^(2))/25+y^(2)/16=1 is

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  18. The area of the region by the circle x^(2)+y^(2)=1 is

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  19. The area of the region bounded by the curve y = x + 1 and the lines x=...

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  20. The area of the region bounded by the curve x=2y+3 and the lines y=1, ...

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