(%i1) | integrate(integrate(1/(1-x*y),y,0,1),x,0,1); |
(%i2) | integrate(integrate(1/sqrt(1-x^2*y^2),y,0,1),x,0,1); |
(%i3) |
asin(x)*log(1 - exp((2*%i)*asin(x))) - (%i/2)*(asin(x)^2 + li[2](exp((2*%i)*asin(x)))); 4*(subst(1,x,%) - limit(%, x, 0, plus)); |
(%i5) | integrate(integrate(1/sqrt(2-x-y),y,-1,1),x,-1,1); |
(%i6) |
( 16 / 3 ) * ( 2 - sqrt ( 2 ) ); expand(-(2^(9/2)-32)/3 - %); |
(%i8) | integrate(integrate(1/sqrt(3-x-2*y),y,-1,1),x,-1,1); |
(%i9) |
( sqrt ( 32 ) / 3 ) * ( sqrt ( 27 ) - sqrt ( 8 ) - 1 ); radcan(factor(% - (2*6^(3/2)-2^(5/2)-16)/3)); |
(%i11) | integrate(integrate(sqrt(x*y),y,0,1),x,0,1); |
(%i12) |
integrate(integrate(exp(-((x-4)^2+(y-1)^2)),y,0,5),x,0,5); factor(%); |
(%i14) |
integrate(integrate(sqrt((x^2 + y^2 - 1/4)^2),y,0,1),x,0,1); integrate(integrate((r^2-1/4)*r,r,1/2,sec(theta)),theta,0,%pi/4) + integrate(integrate(-(r^2-1/4)*r,r,0,1/2),theta,0,%pi/4); expand(%*8); |
(%i17) |
integrate(integrate(sqrt(abs(x-y)),y,0,1),x,0,1); integrate(integrate(sqrt(x-y),y,0,x),x,0,1)*2; |