Optimal. Leaf size=2 \[ \sinh (x) \]
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Rubi [A] time = 0.00, antiderivative size = 2, normalized size of antiderivative = 1.00, number of steps used = 1, number of rules used = 1, integrand size = 2, \(\frac {\text {number of rules}}{\text {integrand size}}\) = 0.500, Rules used = {2637} \[ \sinh (x) \]
Antiderivative was successfully verified.
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Rule 2637
Rubi steps
\begin {align*} \int \cosh (x) \, dx &=\sinh (x)\\ \end {align*}
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Mathematica [A] time = 0.00, size = 2, normalized size = 1.00 \[ \sinh (x) \]
Antiderivative was successfully verified.
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fricas [A] time = 0.41, size = 2, normalized size = 1.00 \[ \sinh \relax (x) \]
Verification of antiderivative is not currently implemented for this CAS.
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giac [B] time = 0.98, size = 11, normalized size = 5.50 \[ -\frac {1}{2} \, e^{\left (-x\right )} + \frac {1}{2} \, e^{x} \]
Verification of antiderivative is not currently implemented for this CAS.
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maple [A] time = 0.00, size = 3, normalized size = 1.50 \[ \sinh \relax (x ) \]
Verification of antiderivative is not currently implemented for this CAS.
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maxima [A] time = 0.44, size = 2, normalized size = 1.00 \[ \sinh \relax (x) \]
Verification of antiderivative is not currently implemented for this CAS.
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mupad [B] time = 0.02, size = 2, normalized size = 1.00 \[ \mathrm {sinh}\relax (x) \]
Verification of antiderivative is not currently implemented for this CAS.
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sympy [A] time = 0.13, size = 2, normalized size = 1.00 \[ \sinh {\relax (x )} \]
Verification of antiderivative is not currently implemented for this CAS.
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