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- Evaluate the following definite integrals: int0^(pi//2)xsinx sin2x d...
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- int0^(2pi)(dx)/(2+sin2x)
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- Evaluate the following definite integrals: int(1//e)^e|l\ n x|dx
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- Evaluate the following definite integral: int0^(pi//2)(sinx+cos x)dx
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- Evaluate the following definite integrals: int0^1(e^(-x))/(1+e^x)dx
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- Evaluate the following definite integrals: int0^(pi//4)(sinx+cosx)/...
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- The value of int-pi^pi cos^2x/[1+a^x].dx,a>0 is
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- For a positive integer n, let I (n) int (-pi)^(pi) ((pi)/(2) -|x|) cos...
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- Show that : int0^1(logx)/((1+x))dx=-int0^1(log(1+x))/x dx
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- Find the limit, when n->oo,\ of\ [((n^3+1^3)(n^3+2^3)(n^3+3^3).........
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- Find the function f(x) if it satisfies the condition f(x)=x+int0^(...
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- If int0^1 sinx/(1+x)dx=K the the value of int(4pi-2)^(4pi)sin(x/2)/...
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- I=int(0)^(2)(3x^(2)-3x+1)cos(x^(3)-3x^(2)+4x-2)dx
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- Let u=int0^(pi//4)((cos x)/(sinx+cosx))^2dx\ a n d\ v=int0^(pi//4)(...
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- Evaluate (lim)(n->oo)n^2int(-1//n)^(1//n)(2010 sin x+2012cosx)|x|dxd...
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- Find value of following definite integrals: int(-pi/4)^(npi-pi/4)|s...
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- Evaluate: int0^2[x^2-x+1]dx ,w h e r e[dot] denotos the greatest inte...
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- Prove that: int0^(2pi)(xsin^(2n)x)/(sin^(2n)+cos^(2n)x)dx
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- Evaluate : int1^16tan^(- 1)sqrt(sqrt(x)-1)dx
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- Let f(x)=\ int1^xsqrt(2-t^2)dtdot Then the real roots of the equati...
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