By using the properties of definite inte...

By using the properties of definite integrals, evaluate the integrals
`int_(0)^(pi/4)log (1 +tan x) dx`

`pi/8 ln 2`

`pi/n ln 2`

`pi ln 2`

`pi/2 ln 2`

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The correct Answer is:

If f(x)=|{:(cosx,1,0),(1,2cosx,1),(0,1,2cosx):}|" then "int(0)^(pi//2)...
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int(0)^((pi)/(2n))(dx)/(1+Cot^(n)nx)=
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By using the properties of definite integrals, evaluate the integrals ...
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If int(0)^(pi//2) ln (sin x) dx= - pi/2 ln 2 then int(0)^(pi) ln (1+ c...
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int(0)^(oo)(log(1+x^(2)))/(1+x^(2))dx=
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int(0)^(1) ln Sin((pi x)/(2))dx=
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If int(0)^(pi//2) sin^(4) x cos^(2)x dx = (pi)/(32) then int(0)^(pi//2...
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int(0)^(pi//2) sin 2 x.ln(tan x)dx
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int(0)^(pi//2) ln ((4+3 Sin x)/(4+3 Cos x))dx=
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int(0)^(1)x(1-x)^(10)dx=
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If f(x) and g(x) are continuous functions satisfysing f(x)=f(a-x)andg(...
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int(0)^(oo) (x)/((1+x)(1+x^(2)))dx=
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int(-1)^(1) (cos h x)/(1+e^(2x))dx=
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Evaluate the definite integrals . underset(-pi//2)overset(pi//2)int ...
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int(0)^(pi)(1)/(1+3^(cosx))dx=
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int(4)^(10) ([x^(2)]dx)/([x^(2)-28 x + 196 ]+[x^(2)]),
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int(0)^(oo)e^(-xlog2)dx=
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Evaluate the integral underset(0)overset(1)int sin^(-1) ((2x)/(1+x^(...
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int(0)^(1) (x-1) e^(-x) dx=
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int(1)^(e)(ln x)/(x^(2))dx=
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