If (d)/(dx)f(x)=g(x), then the value of...

If `(d)/(dx)f(x)=g(x)`, then the value of `int_(a)^(b)f(x)g(x)dx` is -

`(1)/(2)[f(b)-f(a)]`

`(1)/(2)[g(b)-g(a)]`

`(1)/(2)[{f(b)}^(2)-{f(a)}^(2)]`

`(1)/(2)[{g(b)}^(2)-{g(a)}^(2)]`

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CHHAYA PUBLICATION-MCQ ZONE -Question Paper 3

The value of the integral int(1)^(e ) (log x)^(2)dx is -
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The value of int(dx)/(e^(x)+e^(-x)) is equal to -
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For an integrable function f(x) in [-3, 3], int(-3)^(3) f(x)dx=0 when...
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If I(m)=int(1)^(e )(log(e)x)^(m)dx, then the value of (I(m)+mI(m-1)) i...
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If (d)/(dx)f(x)=g(x), then the value of int(a)^(b)f(x)g(x)dx is -
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The value of the integral int(0)^(1) x(1-x)^(n)dx is -
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The value of lim(n to oo) sum(r=1)^(n)(r^(2))/(r^(3)+n^(3)) is -
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The value of int(0)^(1) (log(1+x)dx)/(1+x^(2)) is -
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The value of lim(x to 0)(int(0)^(x^(2))sec^(2)t dt)/(x sin x) is equal...
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If phi (x)=f(x)+x f'(x), then the value of int phi (x) dx is -
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The value of the integral int(0)^(2pi)(sin x+|sin x|)dx is equal to -
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The solution of the differential equation cosx siny dx+sinx cosy dy=0...
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If m and n denote respectively the order and degree of a differential ...
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The solution of the differential equation (dy)/(dx)=(x-y)/(x+y) is -
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The solution of the differential equation y-x(dy)/(dx)=a(y^(2)+(dy)/(...
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The integrating factor of the differential equation x(dy)/(dx)+(x-1)y...
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The solution of differential (dy)/(dx)=(y)/(x)+(phi((y)/(x)))/(phi'( ...
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The order and degree of the differential equation of the family of all...
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If y(t) is the solution of the differential equation (t+1)(dy)/(dt)-t...
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If f(x)=|x-3|+|x-4|, then in the interval 0 le x le 5, the function f...
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