3.3.36 \(\int \cos (x+\cos (x)) \, dx\) [236]

Optimal. Leaf size=8 \[ \text {Int}(\cos (x+\cos (x)),x) \]

[Out]

CannotIntegrate(cos(x+cos(x)),x)

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Rubi [A]
time = 0.00, antiderivative size = 0, normalized size of antiderivative = 0.00, number of steps used = 0, number of rules used = 0, integrand size = 0, \(\frac {\text {number of rules}}{\text {integrand size}}\) = 0.000, Rules used = {} \begin {gather*} \int \cos (x+\cos (x)) \, dx \end {gather*}

Verification is not applicable to the result.

[In]

Int[Cos[x + Cos[x]],x]

[Out]

Defer[Int][Cos[x + Cos[x]], x]

Rubi steps

\begin {gather*} \begin {aligned} \text {Integral} &=\int \cos (x+\cos (x)) \, dx\\ \end {aligned} \end {gather*}

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Mathematica [A]
time = 0.73, size = 0, normalized size = 0.00 \begin {gather*} \int \cos (x+\cos (x)) \, dx \end {gather*}

Verification is not applicable to the result.

[In]

Integrate[Cos[x + Cos[x]],x]

[Out]

Integrate[Cos[x + Cos[x]], x]

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Maple [A]
time = 0.00, size = 0, normalized size = 0.00 \[\int \cos \left (x +\cos \left (x \right )\right )\, dx\]

Verification of antiderivative is not currently implemented for this CAS.

[In]

int(cos(x+cos(x)),x)

[Out]

int(cos(x+cos(x)),x)

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Maxima [A]
time = 0.00, size = 0, normalized size = 0.00 \begin {gather*} \text {Failed to integrate} \end {gather*}

Verification of antiderivative is not currently implemented for this CAS.

[In]

integrate(cos(x+cos(x)),x, algorithm="maxima")

[Out]

integrate(cos(x + cos(x)), x)

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Fricas [A]
time = 0.60, size = 7, normalized size = 0.88 \begin {gather*} {\rm integral}\left (\cos \left (x + \cos \left (x\right )\right ), x\right ) \end {gather*}

Verification of antiderivative is not currently implemented for this CAS.

[In]

integrate(cos(x+cos(x)),x, algorithm="fricas")

[Out]

integral(cos(x + cos(x)), x)

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Sympy [A]
time = 0.00, size = 0, normalized size = 0.00 \begin {gather*} \int \cos {\left (x + \cos {\left (x \right )} \right )}\, dx \end {gather*}

Verification of antiderivative is not currently implemented for this CAS.

[In]

integrate(cos(x+cos(x)),x)

[Out]

Integral(cos(x + cos(x)), x)

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Giac [A]
time = 0.00, size = 0, normalized size = 0.00 \begin {gather*} \text {could not integrate} \end {gather*}

Verification of antiderivative is not currently implemented for this CAS.

[In]

integrate(cos(x+cos(x)),x, algorithm="giac")

[Out]

integrate(cos(x + cos(x)), x)

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Mupad [A]
time = 0.00, size = -1, normalized size = -0.12 \begin {gather*} \int \cos \left (x+\cos \left (x\right )\right ) \,d x \end {gather*}

Verification of antiderivative is not currently implemented for this CAS.

[In]

int(cos(x + cos(x)),x)

[Out]

int(cos(x + cos(x)), x)

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Chatgpt [F]
time = 0.00, size = 0, normalized size = 0.00 \begin {gather*} \text {not solved} \end {gather*}

Warning: Unable to verify antiderivative.

[In]

int(cos(x+cos(x)),x)

[Out]

not solved

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