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SHARAM PUBLICATION-INTEGRAL CALCULUS-EXAMPLE
- Evaluate int(cos3x.cosx)/(1+cos2x)dx.
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- Integrate:intx^5/((x^3+1)^4)dx
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- Integrateint(e^x-1/(sqrt(1-x^2)))dx
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- Show that int0^1(Inx)/sqrt(1-x^2)dx=pi/2In1/2
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- Evaluate int (dx)/((x+1)sqrt(1-x^2))
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- Prove that int0^(pi/2)(sin^nx)/(sin^nx+cos^nx)dx=pi/4
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- Integrate intsec xtanxsqrt(tan^2x-3)dx
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- Evaluateint(xcos^-1x)/(sqrt(1-x^2))dx
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- Evaluate int((3x+1))/((x+1)^(2)(x+3))dx.
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- Evaluate int(sin(x-a))/(sin(x+a))dx.
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- Evaluateintx^2/((x^2+4)(x^2+9))dx
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- Evaluate inte^(2x)((1-sin2x)/(1-cos2x))dx
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- Evaluate int((3sinx-2)cosx)/(5-cos^2x-4sinx)dx
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- If f'(x)=e^x+1/(1+x^2) and f(0)=1, then find f(x).
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- Evaluate : int(logx)^2dx
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- Evaluate: int(2x+9)/(x+3)^2dx
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- int0^1(x^5(4-x^2))/sqrt(1-x^2)dx
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- Evaluate int (sin x cos x)/(sin^2x- 2sin x+3) dx
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- int0^1x^5sqrt((1+x^2)/(1-x^2))dx
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- intx^2tan^-1xdx
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