Symbolic Integration

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from sage.symbolic.integration.integral import indefinite_integral

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@interact

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def _(N=[1,2,..,10]):

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    F={1:ln(2+3*x^2),2:x^(1/3)*ln(x),

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       3:sqrt(x)*atan(sqrt(x)),4:exp(x)*sin(2*x),

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       5:exp(-x)*(x+2),6:4^(-x)*(x+3),

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       7:x*ln(x)^2,8:atan(sqrt(4*x-1)),

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       9:(4*x+1)*cos(2*x),10:(x+5)*sin(3*x)}

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    s=r'<left><font>$\displaystyle{\small{\int %s\; dx=%s'

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    s+='}}$</font></left>'

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    f=F[N]; int_latex=latex(indefinite_integral(f,x).simplify())    

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    pretty_print(html(s%(latex(f),int_latex)))

Language: Sage Gap GP HTML Macaulay2 Maxima Octave Python R Singular

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