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A DAS GUPTA-Definite Integration-EXERCISE
- The value of int0^oo(54 a)/((3+a+4y)^4)dy=
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- If int0^1xln(1+x/2)dx=a+b.ln(2/3)then a=.
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- The value of int(1)^(e^(37))(pi sin(pi log x))/(x)dx is ………….
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- lim(x->oo)int0^x{1/(sqrt(1+t^2))-1/(1+t)}dt=.
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- int0^(pi/2){int(pi/2)^ycosxdx}sinydy=.
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- The value of int1^e1/x(1+logx)dxis
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- The value of int0^1(sin^(- 1)x)/(sqrt(1-x^2))dx is
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- int0^2sqrt((2+x)/(2-x))dx=
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- int- 2^2(p x^3+q x+r)dx , where p,q,r are constant, depends on the val...
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- lim(n->oo)1/nsum(r=1)^(2n)r/(sqrt(n^2+r^2)) equals
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- Evaluate lim(n->oo)1/nsum(r=n+1)^(2n)loge(1+r/n)
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- (1)/(c )int(ac)^(bc)f((x)/(c ))dx=
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- fill in the blanks. int2^3sqrtx/(sqrt(5-x)+sqrtx)dx=.
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- In each following ,fill in the blanks so that the resulting sentence b...
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- Evaluate the following integral:int(-1)^1log((2-x)/(2+x))dx\
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- If a f(x)+bf((1)/(x))=(1)/(x)-5,x ne 0,a ne b, then overset(2)underset...
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- Evaluate the following:int0^(pi/2)sin2x.tan^-1(cosx)dx
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- The value of the integral int(pi//6)^(pi//2)((sinx-xcosx))/(x(x+sinx))...
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- Evaluate the following:int0^(pi/2)dx/(1+2cos^2x)
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- Evaluate the following:int0^(pi/2)xe^xsinxdx
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