(%i1) | fpprec : 25; |
(%i2) | integrate(exp(x),x,0,1); |
(%i3) |
integrate(1/(1+x^4),x,0,1); factor(%); |
(%i5) | integrate(1/(1+exp(x)),x,0,1); |
(%i6) |
integrate(x/(exp(x)-1),x,0,1); bfloat(%), numer; |
(%i8) |
integrate(x/(exp(x)+1),x,0,1); bfloat(%), numer; |
(%i10) | integrate(92/100*cosh(x)-cos(x),x,-1,1); |
(%i11) | integrate(exp(x)*cos(x),x,0,%pi); |
(%i12) | integrate(1/(1+x^2+x^4),x,-1,1); |
(%i13) | integrate(50/%pi/(2500*x^2+1),x,0,1); |
(%i14) | integrate(sqrt(x),x,0,1); |
(%i15) | integrate(sqrt(50)*exp(-50*%pi*x^2),x,0,10); |
(%i16) |
integrate(25*exp(-25*x),x,0,10); expand(%); |
(%i18) | integrate(1/sqrt(x),x,0,1); |
(%i19) | integrate(log(x),x,0,1); |
(%i20) | integrate(sqrt(x+1/2),x,-1/2,1) + integrate(sqrt(-(x+1/2)),x,-1,-1/2); |
(%i21) | integrate(log(-(x-7/10)),x,0,7/10)+integrate(log(x-7/10),x,7/10,1); |
(%i22) | integrate(2/(2+sin(10*%pi*x)),x,0,1); |
(%i23) | integrate(sin(50*%pi*x)^2,x,0,1); |
integrate(exp(cos(x)),x,0,2*%pi) = 2 * %pi * bessel_i(0,1)
integrate(1/(x^(1/2)+x^(1/3)),x,0,1) = 5 - 6 * log(2)
(%i24) | integrate(exp(-x)*sin(50*x),x,0,2*%pi); |
(%i25) |
solve(exp(1)-2-x); integrate(1/(x+2),x,0,%e-2); |
(%i27) | integrate(1/(1+x^2),x,-4,4); |
(%i28) | integrate(sqrt(-log(x)),x,0,1); |
(%i29) |
( 10 * x - 1 ) * ( 10 * x - 11/10 ) * ( 10 * x - 12/10 ) * ( 10 * x - 13/10 ); integrate(expand(%),x,0,1); |
(%i31) | integrate(log(x)*sqrt(x),x,0,1); |
(%i32) | integrate(log(x)/sqrt(x),x,0,1); |
(%i33) | integrate(1,x,3/10,1); |
(%i34) |
integrate(sech(10*(x-2/10))^2,x)+ integrate(sech(100*(x-4/10))^4,x)+ integrate(sech(1000*(x-6/10))^6,x)$ subst(1,x,%)-subst(0,x,%)$ bfloat(%), numer; |
(%i37) |
integrate(cos(7^k*x*%pi/2)/2^k,x); subst(1,x,%) - subst(0,x,%); sum(%, k, 1, 40); bfloat(%), numer; |
(%i41) |
integrate(1/x*sin(1/x),x,0,1); bfloat(%), numer; realpart(%); (%pi - 2 * Si(1) ) / 2; |
(%i45) |
integrate(sin(y)/y,y,1,inf); realpart(%); bfloat(%), numer; |