Integrand size = 23, antiderivative size = 187 \[ \int \frac {3+3 \sin (e+f x)}{(c+d \sin (e+f x))^4} \, dx=\frac {3 \left (2 c^2-2 c d+d^2\right ) \arctan \left (\frac {d+c \tan \left (\frac {1}{2} (e+f x)\right )}{\sqrt {c^2-d^2}}\right )}{(c+d) \left (c^2-d^2\right )^{5/2} f}-\frac {\cos (e+f x)}{(c+d) f (c+d \sin (e+f x))^3}-\frac {(2 c-3 d) \cos (e+f x)}{2 (c-d) (c+d)^2 f (c+d \sin (e+f x))^2}-\frac {(c-4 d) (2 c-d) \cos (e+f x)}{2 (c-d)^2 (c+d)^3 f (c+d \sin (e+f x))} \]
[Out]
Time = 0.23 (sec) , antiderivative size = 192, normalized size of antiderivative = 1.03, number of steps used = 7, number of rules used = 5, \(\frac {\text {number of rules}}{\text {integrand size}}\) = 0.217, Rules used = {2833, 12, 2739, 632, 210} \[ \int \frac {3+3 \sin (e+f x)}{(c+d \sin (e+f x))^4} \, dx=\frac {a \left (2 c^2-2 c d+d^2\right ) \arctan \left (\frac {c \tan \left (\frac {1}{2} (e+f x)\right )+d}{\sqrt {c^2-d^2}}\right )}{f (c+d) \left (c^2-d^2\right )^{5/2}}-\frac {a (c-4 d) (2 c-d) \cos (e+f x)}{6 f (c-d)^2 (c+d)^3 (c+d \sin (e+f x))}-\frac {a (2 c-3 d) \cos (e+f x)}{6 f (c-d) (c+d)^2 (c+d \sin (e+f x))^2}-\frac {a \cos (e+f x)}{3 f (c+d) (c+d \sin (e+f x))^3} \]
[In]
[Out]
Rule 12
Rule 210
Rule 632
Rule 2739
Rule 2833
Rubi steps \begin{align*} \text {integral}& = -\frac {a \cos (e+f x)}{3 (c+d) f (c+d \sin (e+f x))^3}-\frac {\int \frac {-3 a (c-d)-2 a (c-d) \sin (e+f x)}{(c+d \sin (e+f x))^3} \, dx}{3 \left (c^2-d^2\right )} \\ & = -\frac {a \cos (e+f x)}{3 (c+d) f (c+d \sin (e+f x))^3}-\frac {a (2 c-3 d) \cos (e+f x)}{6 (c-d) (c+d)^2 f (c+d \sin (e+f x))^2}+\frac {\int \frac {2 a (3 c-2 d) (c-d)+a (2 c-3 d) (c-d) \sin (e+f x)}{(c+d \sin (e+f x))^2} \, dx}{6 \left (c^2-d^2\right )^2} \\ & = -\frac {a \cos (e+f x)}{3 (c+d) f (c+d \sin (e+f x))^3}-\frac {a (2 c-3 d) \cos (e+f x)}{6 (c-d) (c+d)^2 f (c+d \sin (e+f x))^2}-\frac {a (c-4 d) (2 c-d) \cos (e+f x)}{6 (c-d)^2 (c+d)^3 f (c+d \sin (e+f x))}-\frac {\int -\frac {3 a (c-d) \left (2 c^2-2 c d+d^2\right )}{c+d \sin (e+f x)} \, dx}{6 \left (c^2-d^2\right )^3} \\ & = -\frac {a \cos (e+f x)}{3 (c+d) f (c+d \sin (e+f x))^3}-\frac {a (2 c-3 d) \cos (e+f x)}{6 (c-d) (c+d)^2 f (c+d \sin (e+f x))^2}-\frac {a (c-4 d) (2 c-d) \cos (e+f x)}{6 (c-d)^2 (c+d)^3 f (c+d \sin (e+f x))}+\frac {\left (a \left (2 c^2-2 c d+d^2\right )\right ) \int \frac {1}{c+d \sin (e+f x)} \, dx}{2 (c-d)^2 (c+d)^3} \\ & = -\frac {a \cos (e+f x)}{3 (c+d) f (c+d \sin (e+f x))^3}-\frac {a (2 c-3 d) \cos (e+f x)}{6 (c-d) (c+d)^2 f (c+d \sin (e+f x))^2}-\frac {a (c-4 d) (2 c-d) \cos (e+f x)}{6 (c-d)^2 (c+d)^3 f (c+d \sin (e+f x))}+\frac {\left (a \left (2 c^2-2 c d+d^2\right )\right ) \text {Subst}\left (\int \frac {1}{c+2 d x+c x^2} \, dx,x,\tan \left (\frac {1}{2} (e+f x)\right )\right )}{(c-d)^2 (c+d)^3 f} \\ & = -\frac {a \cos (e+f x)}{3 (c+d) f (c+d \sin (e+f x))^3}-\frac {a (2 c-3 d) \cos (e+f x)}{6 (c-d) (c+d)^2 f (c+d \sin (e+f x))^2}-\frac {a (c-4 d) (2 c-d) \cos (e+f x)}{6 (c-d)^2 (c+d)^3 f (c+d \sin (e+f x))}-\frac {\left (2 a \left (2 c^2-2 c d+d^2\right )\right ) \text {Subst}\left (\int \frac {1}{-4 \left (c^2-d^2\right )-x^2} \, dx,x,2 d+2 c \tan \left (\frac {1}{2} (e+f x)\right )\right )}{(c-d)^2 (c+d)^3 f} \\ & = \frac {a \left (2 c^2-2 c d+d^2\right ) \arctan \left (\frac {d+c \tan \left (\frac {1}{2} (e+f x)\right )}{\sqrt {c^2-d^2}}\right )}{(c-d)^2 (c+d)^3 \sqrt {c^2-d^2} f}-\frac {a \cos (e+f x)}{3 (c+d) f (c+d \sin (e+f x))^3}-\frac {a (2 c-3 d) \cos (e+f x)}{6 (c-d) (c+d)^2 f (c+d \sin (e+f x))^2}-\frac {a (c-4 d) (2 c-d) \cos (e+f x)}{6 (c-d)^2 (c+d)^3 f (c+d \sin (e+f x))} \\ \end{align*}
Result contains complex when optimal does not.
Time = 2.70 (sec) , antiderivative size = 427, normalized size of antiderivative = 2.28 \[ \int \frac {3+3 \sin (e+f x)}{(c+d \sin (e+f x))^4} \, dx=\frac {(1+\sin (e+f x)) \left (\frac {24 \left (2 c^2-2 c d+d^2\right ) \arctan \left (\frac {\sec \left (\frac {f x}{2}\right ) (\cos (e)-i \sin (e)) \left (d \cos \left (e+\frac {f x}{2}\right )+c \sin \left (\frac {f x}{2}\right )\right )}{\sqrt {c^2-d^2} \sqrt {(\cos (e)-i \sin (e))^2}}\right ) (\cos (e)-i \sin (e))}{\sqrt {c^2-d^2} \sqrt {(\cos (e)-i \sin (e))^2}}+\frac {2 c \left (4 c^4-18 c^3 d+14 c^2 d^2-27 c d^3+12 d^4\right ) \cot (e)-d \csc (e) \left (3 d \left (4 c^3-16 c^2 d+6 c d^2+d^3\right ) \cos (e+2 f x)-3 d^2 \left (2 c^2-2 c d+d^2\right ) \cos (3 e+2 f x)-24 c^4 \sin (f x)+78 c^3 d \sin (f x)-24 c^2 d^2 \sin (f x)+12 c d^3 \sin (f x)-12 d^4 \sin (f x)+30 c^3 d \sin (2 e+f x)-30 c^2 d^2 \sin (2 e+f x)+15 c d^3 \sin (2 e+f x)+2 c^2 d^2 \sin (2 e+3 f x)-9 c d^3 \sin (2 e+3 f x)+4 d^4 \sin (2 e+3 f x)\right )}{d (c+d \sin (e+f x))^3}\right )}{8 (c-d)^2 (c+d)^3 f \left (\cos \left (\frac {1}{2} (e+f x)\right )+\sin \left (\frac {1}{2} (e+f x)\right )\right )^2} \]
[In]
[Out]
Leaf count of result is larger than twice the leaf count of optimal. \(640\) vs. \(2(181)=362\).
Time = 1.59 (sec) , antiderivative size = 641, normalized size of antiderivative = 3.43
method | result | size |
derivativedivides | \(\frac {2 a \left (\frac {-\frac {d \left (4 c^{4}-5 c^{3} d -4 c^{2} d^{2}+2 d^{3} c +2 d^{4}\right ) \left (\tan ^{5}\left (\frac {f x}{2}+\frac {e}{2}\right )\right )}{2 c \left (c^{5}+c^{4} d -2 c^{3} d^{2}-2 c^{2} d^{3}+c \,d^{4}+d^{5}\right )}-\frac {\left (2 c^{6}-4 c^{5} d +10 c^{4} d^{2}-17 c^{3} d^{3}-6 c^{2} d^{4}+6 c \,d^{5}+4 d^{6}\right ) \left (\tan ^{4}\left (\frac {f x}{2}+\frac {e}{2}\right )\right )}{2 \left (c^{5}+c^{4} d -2 c^{3} d^{2}-2 c^{2} d^{3}+c \,d^{4}+d^{5}\right ) c^{2}}-\frac {d \left (18 c^{6}-36 c^{5} d +6 c^{4} d^{2}-15 c^{3} d^{3}+2 c^{2} d^{4}+6 c \,d^{5}+4 d^{6}\right ) \left (\tan ^{3}\left (\frac {f x}{2}+\frac {e}{2}\right )\right )}{3 c^{3} \left (c^{5}+c^{4} d -2 c^{3} d^{2}-2 c^{2} d^{3}+c \,d^{4}+d^{5}\right )}-\frac {\left (2 c^{6}-4 c^{5} d +6 c^{4} d^{2}-14 c^{3} d^{3}+3 c \,d^{5}+2 d^{6}\right ) \left (\tan ^{2}\left (\frac {f x}{2}+\frac {e}{2}\right )\right )}{\left (c^{5}+c^{4} d -2 c^{3} d^{2}-2 c^{2} d^{3}+c \,d^{4}+d^{5}\right ) c^{2}}-\frac {d \left (8 c^{4}-19 c^{3} d +4 d^{3} c +2 d^{4}\right ) \tan \left (\frac {f x}{2}+\frac {e}{2}\right )}{2 c \left (c^{5}+c^{4} d -2 c^{3} d^{2}-2 c^{2} d^{3}+c \,d^{4}+d^{5}\right )}-\frac {6 c^{4}-12 c^{3} d -2 c^{2} d^{2}+3 d^{3} c +2 d^{4}}{6 \left (c^{5}+c^{4} d -2 c^{3} d^{2}-2 c^{2} d^{3}+c \,d^{4}+d^{5}\right )}}{{\left (\left (\tan ^{2}\left (\frac {f x}{2}+\frac {e}{2}\right )\right ) c +2 d \tan \left (\frac {f x}{2}+\frac {e}{2}\right )+c \right )}^{3}}+\frac {\left (2 c^{2}-2 c d +d^{2}\right ) \arctan \left (\frac {2 c \tan \left (\frac {f x}{2}+\frac {e}{2}\right )+2 d}{2 \sqrt {c^{2}-d^{2}}}\right )}{2 \left (c^{5}+c^{4} d -2 c^{3} d^{2}-2 c^{2} d^{3}+c \,d^{4}+d^{5}\right ) \sqrt {c^{2}-d^{2}}}\right )}{f}\) | \(641\) |
default | \(\frac {2 a \left (\frac {-\frac {d \left (4 c^{4}-5 c^{3} d -4 c^{2} d^{2}+2 d^{3} c +2 d^{4}\right ) \left (\tan ^{5}\left (\frac {f x}{2}+\frac {e}{2}\right )\right )}{2 c \left (c^{5}+c^{4} d -2 c^{3} d^{2}-2 c^{2} d^{3}+c \,d^{4}+d^{5}\right )}-\frac {\left (2 c^{6}-4 c^{5} d +10 c^{4} d^{2}-17 c^{3} d^{3}-6 c^{2} d^{4}+6 c \,d^{5}+4 d^{6}\right ) \left (\tan ^{4}\left (\frac {f x}{2}+\frac {e}{2}\right )\right )}{2 \left (c^{5}+c^{4} d -2 c^{3} d^{2}-2 c^{2} d^{3}+c \,d^{4}+d^{5}\right ) c^{2}}-\frac {d \left (18 c^{6}-36 c^{5} d +6 c^{4} d^{2}-15 c^{3} d^{3}+2 c^{2} d^{4}+6 c \,d^{5}+4 d^{6}\right ) \left (\tan ^{3}\left (\frac {f x}{2}+\frac {e}{2}\right )\right )}{3 c^{3} \left (c^{5}+c^{4} d -2 c^{3} d^{2}-2 c^{2} d^{3}+c \,d^{4}+d^{5}\right )}-\frac {\left (2 c^{6}-4 c^{5} d +6 c^{4} d^{2}-14 c^{3} d^{3}+3 c \,d^{5}+2 d^{6}\right ) \left (\tan ^{2}\left (\frac {f x}{2}+\frac {e}{2}\right )\right )}{\left (c^{5}+c^{4} d -2 c^{3} d^{2}-2 c^{2} d^{3}+c \,d^{4}+d^{5}\right ) c^{2}}-\frac {d \left (8 c^{4}-19 c^{3} d +4 d^{3} c +2 d^{4}\right ) \tan \left (\frac {f x}{2}+\frac {e}{2}\right )}{2 c \left (c^{5}+c^{4} d -2 c^{3} d^{2}-2 c^{2} d^{3}+c \,d^{4}+d^{5}\right )}-\frac {6 c^{4}-12 c^{3} d -2 c^{2} d^{2}+3 d^{3} c +2 d^{4}}{6 \left (c^{5}+c^{4} d -2 c^{3} d^{2}-2 c^{2} d^{3}+c \,d^{4}+d^{5}\right )}}{{\left (\left (\tan ^{2}\left (\frac {f x}{2}+\frac {e}{2}\right )\right ) c +2 d \tan \left (\frac {f x}{2}+\frac {e}{2}\right )+c \right )}^{3}}+\frac {\left (2 c^{2}-2 c d +d^{2}\right ) \arctan \left (\frac {2 c \tan \left (\frac {f x}{2}+\frac {e}{2}\right )+2 d}{2 \sqrt {c^{2}-d^{2}}}\right )}{2 \left (c^{5}+c^{4} d -2 c^{3} d^{2}-2 c^{2} d^{3}+c \,d^{4}+d^{5}\right ) \sqrt {c^{2}-d^{2}}}\right )}{f}\) | \(641\) |
risch | \(\frac {i a \left (-12 i c \,d^{4} {\mathrm e}^{2 i \left (f x +e \right )}+9 i c \,d^{4}+24 i c^{2} d^{3} {\mathrm e}^{2 i \left (f x +e \right )}+6 c^{2} d^{3} {\mathrm e}^{5 i \left (f x +e \right )}-6 c \,d^{4} {\mathrm e}^{5 i \left (f x +e \right )}+3 d^{5} {\mathrm e}^{5 i \left (f x +e \right )}+12 i d^{5} {\mathrm e}^{2 i \left (f x +e \right )}-4 i d^{5}+30 i c^{3} d^{2} {\mathrm e}^{4 i \left (f x +e \right )}-2 i c^{2} d^{3}+24 i c^{4} d \,{\mathrm e}^{2 i \left (f x +e \right )}+8 c^{5} {\mathrm e}^{3 i \left (f x +e \right )}-36 c^{4} d \,{\mathrm e}^{3 i \left (f x +e \right )}+28 c^{3} d^{2} {\mathrm e}^{3 i \left (f x +e \right )}-54 c^{2} d^{3} {\mathrm e}^{3 i \left (f x +e \right )}+24 c \,d^{4} {\mathrm e}^{3 i \left (f x +e \right )}+15 i c \,d^{4} {\mathrm e}^{4 i \left (f x +e \right )}-78 i c^{3} d^{2} {\mathrm e}^{2 i \left (f x +e \right )}-30 i c^{2} d^{3} {\mathrm e}^{4 i \left (f x +e \right )}-12 c^{3} d^{2} {\mathrm e}^{i \left (f x +e \right )}+48 c^{2} d^{3} {\mathrm e}^{i \left (f x +e \right )}-18 c \,d^{4} {\mathrm e}^{i \left (f x +e \right )}-3 d^{5} {\mathrm e}^{i \left (f x +e \right )}\right )}{3 \left (-i d \,{\mathrm e}^{2 i \left (f x +e \right )}+i d +2 c \,{\mathrm e}^{i \left (f x +e \right )}\right )^{3} \left (c +d \right )^{3} \left (c -d \right )^{2} f d}-\frac {a \ln \left ({\mathrm e}^{i \left (f x +e \right )}+\frac {i c \sqrt {-c^{2}+d^{2}}-c^{2}+d^{2}}{\sqrt {-c^{2}+d^{2}}\, d}\right ) c^{2}}{\sqrt {-c^{2}+d^{2}}\, \left (c +d \right )^{3} \left (c -d \right )^{2} f}+\frac {a \ln \left ({\mathrm e}^{i \left (f x +e \right )}+\frac {i c \sqrt {-c^{2}+d^{2}}-c^{2}+d^{2}}{\sqrt {-c^{2}+d^{2}}\, d}\right ) c d}{\sqrt {-c^{2}+d^{2}}\, \left (c +d \right )^{3} \left (c -d \right )^{2} f}-\frac {a \ln \left ({\mathrm e}^{i \left (f x +e \right )}+\frac {i c \sqrt {-c^{2}+d^{2}}-c^{2}+d^{2}}{\sqrt {-c^{2}+d^{2}}\, d}\right ) d^{2}}{2 \sqrt {-c^{2}+d^{2}}\, \left (c +d \right )^{3} \left (c -d \right )^{2} f}+\frac {a \ln \left ({\mathrm e}^{i \left (f x +e \right )}+\frac {i c \sqrt {-c^{2}+d^{2}}+c^{2}-d^{2}}{\sqrt {-c^{2}+d^{2}}\, d}\right ) c^{2}}{\sqrt {-c^{2}+d^{2}}\, \left (c +d \right )^{3} \left (c -d \right )^{2} f}-\frac {a \ln \left ({\mathrm e}^{i \left (f x +e \right )}+\frac {i c \sqrt {-c^{2}+d^{2}}+c^{2}-d^{2}}{\sqrt {-c^{2}+d^{2}}\, d}\right ) c d}{\sqrt {-c^{2}+d^{2}}\, \left (c +d \right )^{3} \left (c -d \right )^{2} f}+\frac {a \ln \left ({\mathrm e}^{i \left (f x +e \right )}+\frac {i c \sqrt {-c^{2}+d^{2}}+c^{2}-d^{2}}{\sqrt {-c^{2}+d^{2}}\, d}\right ) d^{2}}{2 \sqrt {-c^{2}+d^{2}}\, \left (c +d \right )^{3} \left (c -d \right )^{2} f}\) | \(889\) |
[In]
[Out]
Leaf count of result is larger than twice the leaf count of optimal. 630 vs. \(2 (181) = 362\).
Time = 0.35 (sec) , antiderivative size = 1344, normalized size of antiderivative = 7.19 \[ \int \frac {3+3 \sin (e+f x)}{(c+d \sin (e+f x))^4} \, dx=\text {Too large to display} \]
[In]
[Out]
Timed out. \[ \int \frac {3+3 \sin (e+f x)}{(c+d \sin (e+f x))^4} \, dx=\text {Timed out} \]
[In]
[Out]
Exception generated. \[ \int \frac {3+3 \sin (e+f x)}{(c+d \sin (e+f x))^4} \, dx=\text {Exception raised: ValueError} \]
[In]
[Out]
Leaf count of result is larger than twice the leaf count of optimal. 775 vs. \(2 (181) = 362\).
Time = 0.39 (sec) , antiderivative size = 775, normalized size of antiderivative = 4.14 \[ \int \frac {3+3 \sin (e+f x)}{(c+d \sin (e+f x))^4} \, dx=\text {Too large to display} \]
[In]
[Out]
Time = 10.56 (sec) , antiderivative size = 877, normalized size of antiderivative = 4.69 \[ \int \frac {3+3 \sin (e+f x)}{(c+d \sin (e+f x))^4} \, dx=\frac {a\,\mathrm {atan}\left (\frac {\left (\frac {a\,c\,\mathrm {tan}\left (\frac {e}{2}+\frac {f\,x}{2}\right )\,\left (2\,c^2-2\,c\,d+d^2\right )}{{\left (c+d\right )}^{7/2}\,{\left (c-d\right )}^{5/2}}+\frac {a\,\left (2\,c^2-2\,c\,d+d^2\right )\,\left (2\,c^5\,d+2\,c^4\,d^2-4\,c^3\,d^3-4\,c^2\,d^4+2\,c\,d^5+2\,d^6\right )}{2\,{\left (c+d\right )}^{7/2}\,{\left (c-d\right )}^{5/2}\,\left (c^5+c^4\,d-2\,c^3\,d^2-2\,c^2\,d^3+c\,d^4+d^5\right )}\right )\,\left (c^5+c^4\,d-2\,c^3\,d^2-2\,c^2\,d^3+c\,d^4+d^5\right )}{2\,a\,c^2-2\,a\,c\,d+a\,d^2}\right )\,\left (2\,c^2-2\,c\,d+d^2\right )}{f\,{\left (c+d\right )}^{7/2}\,{\left (c-d\right )}^{5/2}}-\frac {\frac {6\,a\,c^4-12\,a\,c^3\,d-2\,a\,c^2\,d^2+3\,a\,c\,d^3+2\,a\,d^4}{3\,\left (c^5+c^4\,d-2\,c^3\,d^2-2\,c^2\,d^3+c\,d^4+d^5\right )}+\frac {a\,{\mathrm {tan}\left (\frac {e}{2}+\frac {f\,x}{2}\right )}^4\,\left (2\,c^6-4\,c^5\,d+10\,c^4\,d^2-17\,c^3\,d^3-6\,c^2\,d^4+6\,c\,d^5+4\,d^6\right )}{c^2\,\left (c^5+c^4\,d-2\,c^3\,d^2-2\,c^2\,d^3+c\,d^4+d^5\right )}+\frac {2\,a\,{\mathrm {tan}\left (\frac {e}{2}+\frac {f\,x}{2}\right )}^2\,\left (2\,c^6-4\,c^5\,d+6\,c^4\,d^2-14\,c^3\,d^3+3\,c\,d^5+2\,d^6\right )}{c^2\,\left (c^5+c^4\,d-2\,c^3\,d^2-2\,c^2\,d^3+c\,d^4+d^5\right )}+\frac {a\,d\,\mathrm {tan}\left (\frac {e}{2}+\frac {f\,x}{2}\right )\,\left (8\,c^4-19\,c^3\,d+4\,c\,d^3+2\,d^4\right )}{c\,\left (c^5+c^4\,d-2\,c^3\,d^2-2\,c^2\,d^3+c\,d^4+d^5\right )}+\frac {a\,d\,{\mathrm {tan}\left (\frac {e}{2}+\frac {f\,x}{2}\right )}^5\,\left (4\,c^4-5\,c^3\,d-4\,c^2\,d^2+2\,c\,d^3+2\,d^4\right )}{c\,\left (c^5+c^4\,d-2\,c^3\,d^2-2\,c^2\,d^3+c\,d^4+d^5\right )}+\frac {2\,a\,d\,{\mathrm {tan}\left (\frac {e}{2}+\frac {f\,x}{2}\right )}^3\,\left (3\,c^2+2\,d^2\right )\,\left (6\,c^4-12\,c^3\,d-2\,c^2\,d^2+3\,c\,d^3+2\,d^4\right )}{3\,c^3\,\left (c^5+c^4\,d-2\,c^3\,d^2-2\,c^2\,d^3+c\,d^4+d^5\right )}}{f\,\left (c^3\,{\mathrm {tan}\left (\frac {e}{2}+\frac {f\,x}{2}\right )}^6+{\mathrm {tan}\left (\frac {e}{2}+\frac {f\,x}{2}\right )}^2\,\left (3\,c^3+12\,c\,d^2\right )+{\mathrm {tan}\left (\frac {e}{2}+\frac {f\,x}{2}\right )}^4\,\left (3\,c^3+12\,c\,d^2\right )+{\mathrm {tan}\left (\frac {e}{2}+\frac {f\,x}{2}\right )}^3\,\left (12\,c^2\,d+8\,d^3\right )+c^3+6\,c^2\,d\,\mathrm {tan}\left (\frac {e}{2}+\frac {f\,x}{2}\right )+6\,c^2\,d\,{\mathrm {tan}\left (\frac {e}{2}+\frac {f\,x}{2}\right )}^5\right )} \]
[In]
[Out]