Evaluate: int0^(pi//4)(sin\ 2x)/(cos^4x+...

Evaluate: `int_0^(pi//4)(sin\ 2x)/(cos^4x+sin^4x)dx`

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Evaluate int(0)^(pi)(xdx)/(1+cosalphasinx),0ltalphaltpi.
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int0^pi(x dx)/(a^2cos^2x+b^2sin^2x)
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Evaluate int0^pi(x dx)/(1+cos^2x).
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int0^pi (xtanx)/(secx+tanx)dx
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Prove that int(0)^(pi//2)(2logsinx-logsin2x)dx=(pi)/(2)(log2).
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int(0)^(pi//2)(sqrt(tanx)+sqrt(cotx))dx
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Prove that: int0^(pi//2)logsinx\ dx=\ int0^(pi//2)logcosx\ dx=-pi/2log...
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int(0)^(pi//2)log(tanx+cotx)dx=pi(log2)
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int(0)^(oo)(x logx)/((1+x^(2))^(2)) dx=
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Q. int0^pi(e^(cos^2x)( cos^3(2n+1) x dx, n in I
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int(0)^(2pi) (sin 2 theta)/(a-b cos 2 theta )d theta =
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Prove that: y=int(1/8)^(sin^2x)sin^(-1)sqrt(t)dt+int(1/8)^(cos^2x)cos^...
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Evaluate the following: int0^(pi/2) |cosx-sinx|dx
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Evaluate the following:int-2^2(|x|+|x-1|)dx
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