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A DAS GUPTA-Definite Integration-EXERCISE
- Evaluate: int2^3(2x^5+x^4-2x^3+2x^2+1)/((x^2+1)(x^4-1))dx
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- Evaluate the following:int0^1(x^2dx)/(1+x^3)
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- Evaluate: int0^(pi//2)(cos^2x)/(cos^2x+4sin^2x)dx
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- int(0)^((pi)/(2))(cosxdx)/(1+sin^(2)x)
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- Evaluate: int0^(pi/4) secx/(1+2sin^2x)dx
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- Evaluate the following integral:int0^(pi//2)(xsinxcosx)/(sin^4x+cos^4x...
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- int(pi/6)^(pi/3) (sin x+ cos x)/(sqrt(sin 2x))dx
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- Evaluate the following:int(-pi/4)^0sinx.sec^2(x+pi/4)dx
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- If f(x)=x^3,show that inta^bf(x)dx=(b-a)/6{f(a)+4f((a+b)/2)+f(b)}.
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- Find the value of int0^(pi/2)(sinx.cosx)/((a^2cos^2x+b^2sin^2x)^2)dx
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- f(x)=|(secx,cos x,sec^2x + cot x cosecx),(cos^2x,cos^2x,cosec^2 x),(1,...
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- Evaluate: int0^pi x/(a^2cos^2x+b^2sin^2x)dx
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- 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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