(%i1) fpprec : 25;

Result

(%i2) integrate(exp(x),x,0,1);

Result

(%i3) integrate(1/(1+x^4),x,0,1);
factor(%);

Result

(%i5) integrate(1/(1+exp(x)),x,0,1);

Result

(%i6) integrate(x/(exp(x)-1),x,0,1);
bfloat(%), numer;

Result

(%i8) integrate(x/(exp(x)+1),x,0,1);
bfloat(%), numer;

Result

(%i10) integrate(92/100*cosh(x)-cos(x),x,-1,1);

Result

(%i11) integrate(exp(x)*cos(x),x,0,%pi);

Result

(%i12) integrate(1/(1+x^2+x^4),x,-1,1);

Result

(%i13) integrate(50/%pi/(2500*x^2+1),x,0,1);

Result

(%i14) integrate(sqrt(x),x,0,1);

Result

(%i15) integrate(sqrt(50)*exp(-50*%pi*x^2),x,0,10);

Result

(%i16) integrate(25*exp(-25*x),x,0,10);
expand(%);

Result

(%i18) integrate(1/sqrt(x),x,0,1);

Result

(%i19) integrate(log(x),x,0,1);

Result

(%i20) integrate(sqrt(x+1/2),x,-1/2,1) + integrate(sqrt(-(x+1/2)),x,-1,-1/2);

Result

(%i21) integrate(log(-(x-7/10)),x,0,7/10)+integrate(log(x-7/10),x,7/10,1);

Result

(%i22) integrate(2/(2+sin(10*%pi*x)),x,0,1);

Result

(%i23) integrate(sin(50*%pi*x)^2,x,0,1);

Result

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);

Result

(%i25) solve(exp(1)-2-x);
integrate(1/(x+2),x,0,%e-2);

Result

(%i27) integrate(1/(1+x^2),x,-4,4);

Result

(%i28) integrate(sqrt(-log(x)),x,0,1);

Result

(%i29) ( 10 * x - 1 ) * ( 10 * x - 11/10 ) * ( 10 * x - 12/10 ) * ( 10 * x - 13/10 );
integrate(expand(%),x,0,1);

Result

(%i31) integrate(log(x)*sqrt(x),x,0,1);

Result

(%i32) integrate(log(x)/sqrt(x),x,0,1);

Result

(%i33) integrate(1,x,3/10,1);

Result

(%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;

Result

(%i37) integrate(cos(7^k*x*%pi/2)/2^k,x);
subst(1,x,%) - subst(0,x,%);
sum(%, k, 1, 40);
bfloat(%), numer;

Result

(%i41) integrate(1/x*sin(1/x),x,0,1);
bfloat(%), numer;
realpart(%);
(%pi - 2 * Si(1) ) / 2;

Result

(%i45) integrate(sin(y)/y,y,1,inf);
realpart(%);
bfloat(%), numer;

Result


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