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Find the area bounded by the curve y=xe^...

Find the area bounded by the curve `y=xe^(x^2)` , x-axis and the ordinates x=0 and x=h.

A

`(e^(x^(2))+1)/2` sq. units

B

`(e^(x^(2))-1)/2` sq. units

C

`(c^(a^(2))+1)` sq. units

D

`(x^(a^(2))-1)` sq. units

Text Solution

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The correct Answer is:
B
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TARGET PUBLICATION-APPICATIONS OF DEFINITE INTEGRAL-EVALUATION TEST
  1. Find the area bounded by the curve y=xe^(x^2) , x-axis and the ordinat...

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  2. The area bounded by the curve y=abs(x), X axis and the lines x=-pi " a...

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  3. Find the area bounded by the curve y=sin^(-1)x and the line x=0,|y|=pi...

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  4. Using integration find area of the region bounded by the curves y=sqrt...

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  5. The area bounded by the curves y = |x| - 1 and y = -|x| +1 is equal to

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  6. Find the area of the region formed by x^2+y^2-6x-4y+12 le 0. y le x an...

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  7. The area bounded by the curve y = 2x - x^(2) and the line y = - x is

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  8. The area bounded by y=cosx, y=0 and abs(x)=1 is given by

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  9. The area bounded by the curves y = cos x and y = sin x between the ord...

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  10. The area of the region bounded by the parabola y = x^(2) + 2 and the l...

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  11. The area bounded by the curve x=2-y-y^(2) and Y-axis is

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  12. The area of the region bounded by the curves y^(2)=4a^(2)(x-1) and the...

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  13. Find the area of the region bounded by the curves y^(2)=x+1 and y^(2)=...

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  14. The area of the closed figure bounded by x=-1, y=0, y=x^(2)+x+1, and t...

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  15. The area of the region bounded by the curves x^(2)+4y^(2)=4 " and " 4y...

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  16. The slope of the tangent to a curve y=f(x) at (x,f(x)) is 2x+1. If the...

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  17. The area bounded by y = sin^(-1)x,x=(1)/(sqrt(2)) and X-axis is

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  18. The area of the region bounded by the parabola (y-2)^(2) = x- 1, the t...

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  19. The area of the region bounded by the curves y=sqrt[[1+sinx]/cosx] and...

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