Show that int0^1(log(1+x))/(1+x^2)dx=pi/...

Show that `int_0^1(log(1+x))/(1+x^2)dx=pi/8log2`

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int(pi//6)^(pi//3)dx/(1+sqrtcotx)
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int0^pi(xsinxdx)/(1+cos^2x)
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Show that int0^1(log(1+x))/(1+x^2)dx=pi/8log2
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Integrate:int(sin^4x-cos^4x)dx
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int(2sinx+3cosx)/(3sinx+4cosx)dx=?
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Evaluate the following integrals : int(dx)/((x-2)sqrt(x^(2)-16x+64))
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Evaluate the following integrals : int(cosx)/(sin^(2)x+sinx)dx.
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int2x^3cosx^2dx
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Evaluate the following integrals : int(dx)/(2sinx+cosx+3).
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Find intx^2(sin^4x+cos^4x)dx
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Integrate:intx^2/((x-1)^2(x-2))dx
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Evaluate the following integrals : int e^(x)secx(1+tanx)dx.
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Evaluate the following integrals int(4x^2-x+3)/((x^2+1)(x-1))dx
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intsqrt(1+2x-x^2)dx
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Evaluate int x^3/(x^4-x^2-2) dx
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Integrate:int(dx)/(2-sinx)
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int(x^2+2x+7)sqrt(x+1)dx
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Integrate:int(2sinx-3cosx)/(4sinx+3cosx)dx
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Evaluate int (cos^5 x)/(sin x) dx
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Integrate:int(dx)/(sqrt(7+4x+x^2))
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