Optimal. Leaf size=4 \[ \cos \left (\frac {1}{x}\right ) \]
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Rubi [A] time = 0.01, antiderivative size = 4, normalized size of antiderivative = 1.00, number of steps used = 2, number of rules used = 2, integrand size = 8, \(\frac {\text {number of rules}}{\text {integrand size}}\) = 0.250, Rules used = {3379, 2638} \[ \cos \left (\frac {1}{x}\right ) \]
Antiderivative was successfully verified.
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Rule 2638
Rule 3379
Rubi steps
\begin {align*} \int \frac {\sin \left (\frac {1}{x}\right )}{x^2} \, dx &=-\operatorname {Subst}\left (\int \sin (x) \, dx,x,\frac {1}{x}\right )\\ &=\cos \left (\frac {1}{x}\right )\\ \end {align*}
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Mathematica [A] time = 0.01, size = 4, normalized size = 1.00 \[ \cos \left (\frac {1}{x}\right ) \]
Antiderivative was successfully verified.
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fricas [A] time = 0.41, size = 4, normalized size = 1.00 \[ \cos \left (\frac {1}{x}\right ) \]
Verification of antiderivative is not currently implemented for this CAS.
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giac [A] time = 0.01, size = 4, normalized size = 1.00 \[ \cos \left (\frac {1}{x}\right ) \]
Verification of antiderivative is not currently implemented for this CAS.
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maple [A] time = 0.00, size = 5, normalized size = 1.25 \[ \cos \left (\frac {1}{x}\right ) \]
Verification of antiderivative is not currently implemented for this CAS.
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maxima [A] time = 0.61, size = 4, normalized size = 1.00 \[ \cos \left (\frac {1}{x}\right ) \]
Verification of antiderivative is not currently implemented for this CAS.
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mupad [B] time = 0.10, size = 4, normalized size = 1.00 \[ \cos \left (\frac {1}{x}\right ) \]
Verification of antiderivative is not currently implemented for this CAS.
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sympy [A] time = 0.65, size = 3, normalized size = 0.75 \[ \cos {\left (\frac {1}{x} \right )} \]
Verification of antiderivative is not currently implemented for this CAS.
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