3.57.66 \(\int (-245+294 x) \, dx\)

Optimal. Leaf size=16 \[ 49 (4-(-1-3 x) (-2+x)+\log (5)) \]

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Rubi [A]  time = 0.00, antiderivative size = 9, normalized size of antiderivative = 0.56, number of steps used = 1, number of rules used = 0, integrand size = 5, \(\frac {\text {number of rules}}{\text {integrand size}}\) = 0.000, Rules used = {} \begin {gather*} 147 x^2-245 x \end {gather*}

Antiderivative was successfully verified.

[In]

Int[-245 + 294*x,x]

[Out]

-245*x + 147*x^2

Rubi steps

\begin {gather*} \begin {aligned} \text {integral} &=-245 x+147 x^2\\ \end {aligned} \end {gather*}

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Mathematica [A]  time = 0.00, size = 9, normalized size = 0.56 \begin {gather*} -245 x+147 x^2 \end {gather*}

Antiderivative was successfully verified.

[In]

Integrate[-245 + 294*x,x]

[Out]

-245*x + 147*x^2

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fricas [A]  time = 0.55, size = 9, normalized size = 0.56 \begin {gather*} 147 \, x^{2} - 245 \, x \end {gather*}

Verification of antiderivative is not currently implemented for this CAS.

[In]

integrate(294*x-245,x, algorithm="fricas")

[Out]

147*x^2 - 245*x

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giac [A]  time = 0.21, size = 9, normalized size = 0.56 \begin {gather*} 147 \, x^{2} - 245 \, x \end {gather*}

Verification of antiderivative is not currently implemented for this CAS.

[In]

integrate(294*x-245,x, algorithm="giac")

[Out]

147*x^2 - 245*x

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maple [A]  time = 0.02, size = 9, normalized size = 0.56

method	result	size
gosper	\(49 x \left (3 x -5\right )\)	\(9\)
default	\(147 x^{2}-245 x\)	\(10\)
norman	\(147 x^{2}-245 x\)	\(10\)
risch	\(147 x^{2}-245 x\)	\(10\)

Verification of antiderivative is not currently implemented for this CAS.

[In]

int(294*x-245,x,method=_RETURNVERBOSE)

[Out]

49*x*(3*x-5)

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maxima [A]  time = 0.39, size = 9, normalized size = 0.56 \begin {gather*} 147 \, x^{2} - 245 \, x \end {gather*}

Verification of antiderivative is not currently implemented for this CAS.

[In]

integrate(294*x-245,x, algorithm="maxima")

[Out]

147*x^2 - 245*x

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mupad [B]  time = 0.03, size = 8, normalized size = 0.50 \begin {gather*} 49\,x\,\left (3\,x-5\right ) \end {gather*}

Verification of antiderivative is not currently implemented for this CAS.

[In]

int(294*x - 245,x)

[Out]

49*x*(3*x - 5)

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sympy [A]  time = 0.04, size = 7, normalized size = 0.44 \begin {gather*} 147 x^{2} - 245 x \end {gather*}

Verification of antiderivative is not currently implemented for this CAS.

[In]

integrate(294*x-245,x)

[Out]

147*x**2 - 245*x

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