\(\int -\sin (x-\sin (x)) \, dx\) [225]

Optimal result

Integrand size = 9, antiderivative size = 9 \[ \int -\sin (x-\sin (x)) \, dx=-\text {Int}(\sin (x-\sin (x)),x) \]

[Out]

-CannotIntegrate(sin(x-sin(x)),x)

Rubi [N/A]

Not integrable

Time = 0.01 (sec) , antiderivative size = 9, normalized size of antiderivative = 1.00, number of steps used = 0, number of rules used = 0, \(\frac {\text {number of rules}}{\text {integrand size}}\) = 0.000, Rules used = {} \[ \int -\sin (x-\sin (x)) \, dx=\int -\sin (x-\sin (x)) \, dx \]

[In]

Int[-Sin[x - Sin[x]],x]

[Out]

-Defer[Int][Sin[x - Sin[x]], x]

Rubi steps \begin{align*} \text {integral}& = -\int \sin (x-\sin (x)) \, dx \\ \end{align*}

Mathematica [N/A]

Not integrable

Time = 1.89 (sec) , antiderivative size = 11, normalized size of antiderivative = 1.22 \[ \int -\sin (x-\sin (x)) \, dx=\int -\sin (x-\sin (x)) \, dx \]

[In]

Integrate[-Sin[x - Sin[x]],x]

[Out]

-Integrate[Sin[x - Sin[x]], x]

Maple [N/A] (verified)

Not integrable

Time = 0.04 (sec) , antiderivative size = 9, normalized size of antiderivative = 1.00

\[\int -\sin \left (x -\sin \left (x \right )\right )d x\]

[In]

int(-sin(x-sin(x)),x)

[Out]

int(-sin(x-sin(x)),x)

Fricas [N/A]

Not integrable

Time = 0.25 (sec) , antiderivative size = 9, normalized size of antiderivative = 1.00 \[ \int -\sin (x-\sin (x)) \, dx=\int { -\sin \left (x - \sin \left (x\right )\right ) \,d x } \]

[In]

integrate(-sin(x-sin(x)),x, algorithm="fricas")

[Out]

integral(sin(-x + sin(x)), x)

Sympy [N/A]

Not integrable

Time = 0.49 (sec) , antiderivative size = 8, normalized size of antiderivative = 0.89 \[ \int -\sin (x-\sin (x)) \, dx=- \int \sin {\left (x - \sin {\left (x \right )} \right )}\, dx \]

[In]

integrate(-sin(x-sin(x)),x)

[Out]

-Integral(sin(x - sin(x)), x)

Maxima [N/A]

Not integrable

Time = 0.40 (sec) , antiderivative size = 9, normalized size of antiderivative = 1.00 \[ \int -\sin (x-\sin (x)) \, dx=\int { -\sin \left (x - \sin \left (x\right )\right ) \,d x } \]

[In]

integrate(-sin(x-sin(x)),x, algorithm="maxima")

[Out]

integrate(sin(-x + sin(x)), x)

Giac [N/A]

Not integrable

Time = 0.27 (sec) , antiderivative size = 11, normalized size of antiderivative = 1.22 \[ \int -\sin (x-\sin (x)) \, dx=\int { -\sin \left (x - \sin \left (x\right )\right ) \,d x } \]

[In]

integrate(-sin(x-sin(x)),x, algorithm="giac")

[Out]

integrate(-sin(x - sin(x)), x)

Mupad [N/A]

Not integrable

Time = 15.40 (sec) , antiderivative size = 11, normalized size of antiderivative = 1.22 \[ \int -\sin (x-\sin (x)) \, dx=\int -\sin \left (x-\sin \left (x\right )\right ) \,d x \]

[In]

int(-sin(x - sin(x)),x)

[Out]

int(-sin(x - sin(x)), x)