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SHARAM PUBLICATION-INTEGRAL CALCULUS-EXAMPLE
- If int0^1f(1-x)dx=2,then what is the value of int0^(1//2)f(2t)dt
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- What is the area bounded by x=e^(y),x=0,y=0andy=1?
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- What is the area bounded by y=x,y=0, y=0 and x=1 ?
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- Write the area bounded by y=-2x,y=0,x=1 and x=3.
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- If f(x)=int(dx)/((1+x^2)^ (3/2)and f(0)=0 then what is the value of f(...
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- 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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