Optimal. Leaf size=12 \[ c x+\frac {d x^2}{2} \]
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Rubi [A] time = 0.00, antiderivative size = 12, normalized size of antiderivative = 1.00, number of steps used = 1, number of rules used = 0, integrand size = 5, \(\frac {\text {number of rules}}{\text {integrand size}}\) = 0.000, Rules used = {} \[ c x+\frac {d x^2}{2} \]
Antiderivative was successfully verified.
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Rubi steps
\begin {align*} \int (c+d x) \, dx &=c x+\frac {d x^2}{2}\\ \end {align*}
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Mathematica [A] time = 0.00, size = 12, normalized size = 1.00 \[ c x+\frac {d x^2}{2} \]
Antiderivative was successfully verified.
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fricas [A] time = 0.39, size = 10, normalized size = 0.83 \[ \frac {1}{2} x^{2} d + x c \]
Verification of antiderivative is not currently implemented for this CAS.
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giac [A] time = 0.90, size = 10, normalized size = 0.83 \[ \frac {1}{2} \, d x^{2} + c x \]
Verification of antiderivative is not currently implemented for this CAS.
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maple [A] time = 0.00, size = 11, normalized size = 0.92 \[ \frac {1}{2} d \,x^{2}+c x \]
Verification of antiderivative is not currently implemented for this CAS.
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maxima [A] time = 1.35, size = 10, normalized size = 0.83 \[ \frac {1}{2} \, d x^{2} + c x \]
Verification of antiderivative is not currently implemented for this CAS.
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mupad [B] time = 0.02, size = 10, normalized size = 0.83 \[ \frac {d\,x^2}{2}+c\,x \]
Verification of antiderivative is not currently implemented for this CAS.
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sympy [A] time = 0.06, size = 8, normalized size = 0.67 \[ c x + \frac {d x^{2}}{2} \]
Verification of antiderivative is not currently implemented for this CAS.
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