3.6 \(\int \cos (x) \, dx\)

Optimal. Leaf size=2 \[ \sin (x) \]

[Out]

Sin[x]

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Rubi [A]  time = 0.00299504, antiderivative size = 2, normalized size of antiderivative = 1., number of steps used = 1, number of rules used = 1, integrand size = 2, \(\frac{\text{number of rules}}{\text{integrand size}}\) = 0.5 \[ \sin (x) \]

Antiderivative was successfully verified.

[In]  Int[Cos[x],x]

[Out]

Sin[x]

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Rubi in Sympy [A]  time = 0.023028, size = 2, normalized size = 1. \[ \sin{\left (x \right )} \]

Verification of antiderivative is not currently implemented for this CAS.

[In]  rubi_integrate(cos(x),x)

[Out]

sin(x)

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Mathematica [A]  time = 0.00148056, size = 2, normalized size = 1. \[ \sin (x) \]

Antiderivative was successfully verified.

[In]  Integrate[Cos[x],x]

[Out]

Sin[x]

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Maple [A]  time = 0., size = 3, normalized size = 1.5 \[ \sin \left ( x \right ) \]

Verification of antiderivative is not currently implemented for this CAS.

[In]  int(cos(x),x)

[Out]

sin(x)

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Maxima [A]  time = 1.36831, size = 3, normalized size = 1.5 \[ \sin \left (x\right ) \]

Verification of antiderivative is not currently implemented for this CAS.

[In]  integrate(cos(x),x, algorithm="maxima")

[Out]

sin(x)

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Fricas [A]  time = 0.247253, size = 3, normalized size = 1.5 \[ \sin \left (x\right ) \]

Verification of antiderivative is not currently implemented for this CAS.

[In]  integrate(cos(x),x, algorithm="fricas")

[Out]

sin(x)

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Sympy [A]  time = 0.030372, size = 2, normalized size = 1. \[ \sin{\left (x \right )} \]

Verification of antiderivative is not currently implemented for this CAS.

[In]  integrate(cos(x),x)

[Out]

sin(x)

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GIAC/XCAS [A]  time = 0.207464, size = 3, normalized size = 1.5 \[ \sin \left (x\right ) \]

Verification of antiderivative is not currently implemented for this CAS.

[In]  integrate(cos(x),x, algorithm="giac")

[Out]

sin(x)