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TARGET PUBLICATION-DEFINITE INTEGRALS-COMPETITIVE THINKING
- If int(0)^((pi)/2)log(cosx)dx=-(pi)/2log2, then int(0)^((pi)/2)log(cos...
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- int(0)^(pi//2) sin 2x log (tan x) dx is equal to
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- int(0)^((alpha)/3)(f(x))/(f(x)+f((alpha-3x)/3))dx=
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- Let f be a non constant continuous function for all xge0. Let f satisf...
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- int(0)^(pi)(xdx)/(1+sinx) is equal to
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- int(0)^(pi)(x dx)/(4 cos^(2)x+9sin^(2)x)=
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- int0^pi(ntanx)/(secx+cosx)dx
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- int0^(pi/2) (xsinxcosx)/(cos^4x+sin^4x) dx=
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- int0^1log(1+x)/(1+x^2)dx
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- The value of int(8 log(1+x))/(1+x^(2)) dx is
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- int(0)^(pi)[cotx]dx, where [.] denotes the greatest integer function, ...
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- int2^8 sqrt(10-x)/(sqrtx+sqrt(10-x))dx
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- int(2016)^(2017)(sqrt(x))/(sqrt(x)+sqrt(4033-x))dx is equal to
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- int(pi//4)^(3pi//4)(dx)/(1+cosx) is equal to
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- The integral int2^4(logx^2)/(logx^2+log(36-12 x+x^2)dx is equal to:...
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- The value of int(-pi//2)^(pi//2)(1)/(e^(sinx)+1) dx is equal to
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- The value of overset(sqrt("In"3))underset(sqrt("In"2))int(xsinx^(2))/(...
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- The value of the integral I = int(1//2014)^(2014)(tan^(-1) x)/x dx is
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- The value of the definite integral 1/pi int(pi/2)^((5pi)/2) e^(tan^(-...
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- If f(x)=f(pi+e-x) and inte^pif(x)dx=2/(e+pi), then inte^pi xf(x)dx is ...
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