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A DAS GUPTA-Definite Integration-EXERCISE
- lim(n-gtoo)[(1+1/n)(1+2/n)(1+n/n)]^(1/n)
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- lim(n->oo)[(1+1/n^2)(1+2^2 /n^2)(1+3^2 /n^2)......(1+n^2 / n^2)]^(1/n)
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- Evaluate intcos^5(x/2)sinxdx
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- Evaluate the following:int0^(pi/2)(sinxcosxdx)/((a^2cos^2x+b^2sin^2x)^...
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- Evaluate int0^(pi//2)(sin^2xdotcos^2x)/((sin^3x+cos^3x)^2)dx
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- Evaluate the following:int0^1xlogxdx
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- Evaluate : int1^16tan^(- 1)sqrt(sqrt(x)-1)dx
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- Evaluate the following integrals: int(cosx)/(cos(x+alpha))dx
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- Evaluate the following:int0^1(x^3dx)/(1+x^4)
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- int0^1(x dx)/(sqrt(x+lambda)+sqrt(x+mu)),lambda!=mu
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- By using the properties of definite integrals, evaluate the integra...
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- int0^pi cos2xlogsinxdx= (A) pi (B) -pi/2 (C) pi/2 (D) none of these
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- Evaluate the following : int(pi//2)^(pi)e^(x)((1-sinx)/(1-cosx))dx.
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- integrate int0^(2pi) e^x . sin (pi/4 + x/2) dx
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- Evaluate the following: int0^(pi/2) |cosx-sinx|dx
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- Evaluate: intsqrt(2a x-x^2)dx
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- Evaluate the following integral: int0^a1/(x+sqrt(a^2-x^2))dx
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- 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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