3.87.71 \(\int (-10-6 x-4 x^3) \, dx\)

Optimal. Leaf size=24 \[ e^2-x \left (2-x+x^3\right )-4 (x+x (1+x)) \]

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Rubi [A]  time = 0.00, antiderivative size = 14, normalized size of antiderivative = 0.58, number of steps used = 1, number of rules used = 0, integrand size = 10, \(\frac {\text {number of rules}}{\text {integrand size}}\) = 0.000, Rules used = {} \begin {gather*} -x^4-3 x^2-10 x \end {gather*}

Antiderivative was successfully verified.

[In]

Int[-10 - 6*x - 4*x^3,x]

[Out]

-10*x - 3*x^2 - x^4

Rubi steps

\begin {gather*} \begin {aligned} \text {integral} &=-10 x-3 x^2-x^4\\ \end {aligned} \end {gather*}

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Mathematica [A]  time = 0.00, size = 14, normalized size = 0.58 \begin {gather*} -10 x-3 x^2-x^4 \end {gather*}

Antiderivative was successfully verified.

[In]

Integrate[-10 - 6*x - 4*x^3,x]

[Out]

-10*x - 3*x^2 - x^4

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fricas [A]  time = 0.64, size = 14, normalized size = 0.58 \begin {gather*} -x^{4} - 3 \, x^{2} - 10 \, x \end {gather*}

Verification of antiderivative is not currently implemented for this CAS.

[In]

integrate(-4*x^3-6*x-10,x, algorithm="fricas")

[Out]

-x^4 - 3*x^2 - 10*x

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giac [A]  time = 0.17, size = 14, normalized size = 0.58 \begin {gather*} -x^{4} - 3 \, x^{2} - 10 \, x \end {gather*}

Verification of antiderivative is not currently implemented for this CAS.

[In]

integrate(-4*x^3-6*x-10,x, algorithm="giac")

[Out]

-x^4 - 3*x^2 - 10*x

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maple [A]  time = 0.02, size = 12, normalized size = 0.50

method	result	size
gosper	\(-x \left (x^{3}+3 x +10\right )\)	\(12\)
default	\(-x^{4}-3 x^{2}-10 x\)	\(15\)
norman	\(-x^{4}-3 x^{2}-10 x\)	\(15\)
risch	\(-x^{4}-3 x^{2}-10 x\)	\(15\)

Verification of antiderivative is not currently implemented for this CAS.

[In]

int(-4*x^3-6*x-10,x,method=_RETURNVERBOSE)

[Out]

-x*(x^3+3*x+10)

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maxima [A]  time = 0.35, size = 14, normalized size = 0.58 \begin {gather*} -x^{4} - 3 \, x^{2} - 10 \, x \end {gather*}

Verification of antiderivative is not currently implemented for this CAS.

[In]

integrate(-4*x^3-6*x-10,x, algorithm="maxima")

[Out]

-x^4 - 3*x^2 - 10*x

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mupad [B]  time = 0.02, size = 11, normalized size = 0.46 \begin {gather*} -x\,\left (x^3+3\,x+10\right ) \end {gather*}

Verification of antiderivative is not currently implemented for this CAS.

[In]

int(- 6*x - 4*x^3 - 10,x)

[Out]

-x*(3*x + x^3 + 10)

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sympy [A]  time = 0.05, size = 12, normalized size = 0.50 \begin {gather*} - x^{4} - 3 x^{2} - 10 x \end {gather*}

Verification of antiderivative is not currently implemented for this CAS.

[In]

integrate(-4*x**3-6*x-10,x)

[Out]

-x**4 - 3*x**2 - 10*x

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