Optimal. Leaf size=12 \[ c x+\frac {d x^n}{n} \]
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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 = 9, \(\frac {\text {number of rules}}{\text {integrand size}}\) = 0.000, Rules used = {} \[ c x+\frac {d x^n}{n} \]
Antiderivative was successfully verified.
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Rubi steps
\begin {align*} \int \left (c+d x^{-1+n}\right ) \, dx &=c x+\frac {d x^n}{n}\\ \end {align*}
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Mathematica [A] time = 0.00, size = 12, normalized size = 1.00 \[ c x+\frac {d x^n}{n} \]
Antiderivative was successfully verified.
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fricas [A] time = 0.44, size = 17, normalized size = 1.42 \[ \frac {c n x + d x x^{n - 1}}{n} \]
Verification of antiderivative is not currently implemented for this CAS.
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giac [A] time = 0.17, size = 12, normalized size = 1.00 \[ c x + \frac {d x^{n}}{n} \]
Verification of antiderivative is not currently implemented for this CAS.
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maple [A] time = 0.04, size = 13, normalized size = 1.08 \[ c x +\frac {d \,x^{n}}{n} \]
Verification of antiderivative is not currently implemented for this CAS.
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maxima [A] time = 1.32, size = 12, normalized size = 1.00 \[ c x + \frac {d x^{n}}{n} \]
Verification of antiderivative is not currently implemented for this CAS.
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mupad [B] time = 5.01, size = 12, normalized size = 1.00 \[ c\,x+\frac {d\,x^n}{n} \]
Verification of antiderivative is not currently implemented for this CAS.
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sympy [A] time = 0.07, size = 15, normalized size = 1.25 \[ c x + d \left (\begin {cases} \frac {x^{n}}{n} & \text {for}\: n - 1 \neq -1 \\\log {\relax (x )} & \text {otherwise} \end {cases}\right ) \]
Verification of antiderivative is not currently implemented for this CAS.
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