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Find the area bounded by the curve y = x...

Find the area bounded by the curve `y = xe^(-x^2)` , the x-axis, and the line `x = c` where y(c) is maximum.

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The correct Answer is:
`1/2(1-e^(-1//2))`
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MOTION-AREA UNDER THE CURVE-EXERCISE -3
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  8. The line 3x +2y=13 divides the area enclosed by the curve, 9x^2+4y^2-1...

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  9. Find the area bounded by the curve y = xe^(-x^2) , the x-axis, and the...

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  10. A polynomial function f(x) satisfies the condition f(x+1)=f(x) + 2x + ...

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  13. In the adjacent figure the graph of two function y=f(x) and y=sin x ar...

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  14. If An be the area bounded by the curve y=(tanx^n) ands the lines x=0,\...

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  15. Find the whole area included between the curve x^2)y^(2) = a^(2)(y^(2)...

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  16. Let C(1 )and C(2) be two curves passing through the origin as shown in...

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  17. Consider the two curves y = 1//x^(2) and y = 1//[4(x-1)]. At what v...

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  18. If A = [[ln(a-1),0],[0,ln(b-1)]], then A^(-1) is :

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  19. If z is a complex number such that z = ln(a – 1) + iln (b – 1) then ar...

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  20. {:(,"Column - I", "Column - II"),("(A)" ,"The area bounded by curve","...

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