Optimal. Leaf size=9 \[ -\frac{\cos (\pi x)}{\pi } \]
[Out]
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Rubi [A] time = 0.00805845, antiderivative size = 9, normalized size of antiderivative = 1., number of steps used = 1, number of rules used = 1, integrand size = 4, \(\frac{\text{number of rules}}{\text{integrand size}}\) = 0.25 \[ -\frac{\cos (\pi x)}{\pi } \]
Antiderivative was successfully verified.
[In] Int[Sin[Pi*x],x]
[Out]
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Rubi in Sympy [A] time = 0.466595, size = 7, normalized size = 0.78 \[ - \frac{\cos{\left (\pi x \right )}}{\pi } \]
Verification of antiderivative is not currently implemented for this CAS.
[In] rubi_integrate(sin(pi*x),x)
[Out]
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Mathematica [A] time = 0.00536931, size = 9, normalized size = 1. \[ -\frac{\cos (\pi x)}{\pi } \]
Antiderivative was successfully verified.
[In] Integrate[Sin[Pi*x],x]
[Out]
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Maple [A] time = 0.004, size = 10, normalized size = 1.1 \[ -{\frac{\cos \left ( \pi \,x \right ) }{\pi }} \]
Verification of antiderivative is not currently implemented for this CAS.
[In] int(sin(Pi*x),x)
[Out]
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Maxima [A] time = 1.33547, size = 12, normalized size = 1.33 \[ -\frac{\cos \left (\pi x\right )}{\pi } \]
Verification of antiderivative is not currently implemented for this CAS.
[In] integrate(sin(pi*x),x, algorithm="maxima")
[Out]
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Fricas [A] time = 0.211506, size = 12, normalized size = 1.33 \[ -\frac{\cos \left (\pi x\right )}{\pi } \]
Verification of antiderivative is not currently implemented for this CAS.
[In] integrate(sin(pi*x),x, algorithm="fricas")
[Out]
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Sympy [A] time = 0.035801, size = 7, normalized size = 0.78 \[ - \frac{\cos{\left (\pi x \right )}}{\pi } \]
Verification of antiderivative is not currently implemented for this CAS.
[In] integrate(sin(pi*x),x)
[Out]
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GIAC/XCAS [A] time = 0.216723, size = 12, normalized size = 1.33 \[ -\frac{\cos \left (\pi x\right )}{\pi } \]
Verification of antiderivative is not currently implemented for this CAS.
[In] integrate(sin(pi*x),x, algorithm="giac")
[Out]