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SHARAM PUBLICATION-INTEGRAL CALCULUS-EXAMPLE
- Evaluate the following integrals : int(dx)/(x[(logx)^(2)+25])
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- Evaluate int[1/logx- 1/(log x)^2]dx
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- Evaluate the following integrals : inte^(3x)sin4xdx.
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- Integrate:int(dx)/((1+x)sqrt(1-x^2))
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- Evaluate:int0^(pi/4)cos^2 2xsin^3 4xdx
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- Evaluate:int0^(pi/2)(sinx(7-cosx))/((1+cos^2x)(2-cosx))dx
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- Evaluate int0^(pi//2) (dx)/(1+2cos x)
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- Evaluate int0^1frac[ln(1+x)][1+x^2]dx
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- Evaluate:int(pi/4)^(pi/3)(dx)/(sin^2x+3cos^2x)
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- Evaluate int0^(pi//2) (cos x)/ ((2+ sin x)(3+sin x))dx
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- int0^pi(xdx)/(1+sinx)
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- Evaluate int0^1frac[ln(1+x)][1+x^2]dx
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- Integrate:int2^7(dx)/(sqrt(x+2)+sqrt(x-2))
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- Integrate:int0^1 xlog(1+x)dx
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- Evaluate int1^2 (dx)/(16-x^2)
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- Integrate:int-2^2{[x]+|x|}dx
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- int0^1xtan^(-1)xdx
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- Integrate: int0^(pi/2)(sqrttanx)/(sqrttanx+sqrtcotx)dx
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- Prove that int0^(pi/2)(dx)/(a^2cos^2x+b^2sin^2x)=pi/(2ab),a,b>0
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- Evaluate int (x^5+x^4+x^3+x^2+4x+1)/(x^3+1)dx
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