Optimal. Leaf size=371 \[ 3 i b c^2 d^3 \text{PolyLog}\left (2,e^{2 i \sin ^{-1}(c x)}\right ) \left (a+b \sin ^{-1}(c x)\right )-\frac{3}{2} b^2 c^2 d^3 \text{PolyLog}\left (3,e^{2 i \sin ^{-1}(c x)}\right )-\frac{7}{8} b c^3 d^3 x \left (1-c^2 x^2\right )^{3/2} \left (a+b \sin ^{-1}(c x)\right )+\frac{3}{16} b c^3 d^3 x \sqrt{1-c^2 x^2} \left (a+b \sin ^{-1}(c x)\right )-\frac{3}{4} c^2 d^3 \left (1-c^2 x^2\right )^2 \left (a+b \sin ^{-1}(c x)\right )^2-\frac{3}{2} c^2 d^3 \left (1-c^2 x^2\right ) \left (a+b \sin ^{-1}(c x)\right )^2-\frac{b c d^3 \left (1-c^2 x^2\right )^{5/2} \left (a+b \sin ^{-1}(c x)\right )}{x}-\frac{d^3 \left (1-c^2 x^2\right )^3 \left (a+b \sin ^{-1}(c x)\right )^2}{2 x^2}+\frac{i c^2 d^3 \left (a+b \sin ^{-1}(c x)\right )^3}{b}+\frac{3}{32} c^2 d^3 \left (a+b \sin ^{-1}(c x)\right )^2-3 c^2 d^3 \log \left (1-e^{2 i \sin ^{-1}(c x)}\right ) \left (a+b \sin ^{-1}(c x)\right )^2+\frac{1}{32} b^2 c^6 d^3 x^4-\frac{21}{32} b^2 c^4 d^3 x^2+b^2 c^2 d^3 \log (x) \]
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Rubi [A] time = 0.722516, antiderivative size = 371, normalized size of antiderivative = 1., number of steps used = 28, number of rules used = 15, integrand size = 27, \(\frac{\text{number of rules}}{\text{integrand size}}\) = 0.556, Rules used = {4695, 4699, 4625, 3717, 2190, 2531, 2282, 6589, 4647, 4641, 30, 4649, 14, 266, 43} \[ 3 i b c^2 d^3 \text{PolyLog}\left (2,e^{2 i \sin ^{-1}(c x)}\right ) \left (a+b \sin ^{-1}(c x)\right )-\frac{3}{2} b^2 c^2 d^3 \text{PolyLog}\left (3,e^{2 i \sin ^{-1}(c x)}\right )-\frac{7}{8} b c^3 d^3 x \left (1-c^2 x^2\right )^{3/2} \left (a+b \sin ^{-1}(c x)\right )+\frac{3}{16} b c^3 d^3 x \sqrt{1-c^2 x^2} \left (a+b \sin ^{-1}(c x)\right )-\frac{3}{4} c^2 d^3 \left (1-c^2 x^2\right )^2 \left (a+b \sin ^{-1}(c x)\right )^2-\frac{3}{2} c^2 d^3 \left (1-c^2 x^2\right ) \left (a+b \sin ^{-1}(c x)\right )^2-\frac{b c d^3 \left (1-c^2 x^2\right )^{5/2} \left (a+b \sin ^{-1}(c x)\right )}{x}-\frac{d^3 \left (1-c^2 x^2\right )^3 \left (a+b \sin ^{-1}(c x)\right )^2}{2 x^2}+\frac{i c^2 d^3 \left (a+b \sin ^{-1}(c x)\right )^3}{b}+\frac{3}{32} c^2 d^3 \left (a+b \sin ^{-1}(c x)\right )^2-3 c^2 d^3 \log \left (1-e^{2 i \sin ^{-1}(c x)}\right ) \left (a+b \sin ^{-1}(c x)\right )^2+\frac{1}{32} b^2 c^6 d^3 x^4-\frac{21}{32} b^2 c^4 d^3 x^2+b^2 c^2 d^3 \log (x) \]
Antiderivative was successfully verified.
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Rule 4695
Rule 4699
Rule 4625
Rule 3717
Rule 2190
Rule 2531
Rule 2282
Rule 6589
Rule 4647
Rule 4641
Rule 30
Rule 4649
Rule 14
Rule 266
Rule 43
Rubi steps
\begin{align*} \int \frac{\left (d-c^2 d x^2\right )^3 \left (a+b \sin ^{-1}(c x)\right )^2}{x^3} \, dx &=-\frac{d^3 \left (1-c^2 x^2\right )^3 \left (a+b \sin ^{-1}(c x)\right )^2}{2 x^2}-\left (3 c^2 d\right ) \int \frac{\left (d-c^2 d x^2\right )^2 \left (a+b \sin ^{-1}(c x)\right )^2}{x} \, dx+\left (b c d^3\right ) \int \frac{\left (1-c^2 x^2\right )^{5/2} \left (a+b \sin ^{-1}(c x)\right )}{x^2} \, dx\\ &=-\frac{b c d^3 \left (1-c^2 x^2\right )^{5/2} \left (a+b \sin ^{-1}(c x)\right )}{x}-\frac{3}{4} c^2 d^3 \left (1-c^2 x^2\right )^2 \left (a+b \sin ^{-1}(c x)\right )^2-\frac{d^3 \left (1-c^2 x^2\right )^3 \left (a+b \sin ^{-1}(c x)\right )^2}{2 x^2}-\left (3 c^2 d^2\right ) \int \frac{\left (d-c^2 d x^2\right ) \left (a+b \sin ^{-1}(c x)\right )^2}{x} \, dx+\left (b^2 c^2 d^3\right ) \int \frac{\left (1-c^2 x^2\right )^2}{x} \, dx+\frac{1}{2} \left (3 b c^3 d^3\right ) \int \left (1-c^2 x^2\right )^{3/2} \left (a+b \sin ^{-1}(c x)\right ) \, dx-\left (5 b c^3 d^3\right ) \int \left (1-c^2 x^2\right )^{3/2} \left (a+b \sin ^{-1}(c x)\right ) \, dx\\ &=-\frac{7}{8} b c^3 d^3 x \left (1-c^2 x^2\right )^{3/2} \left (a+b \sin ^{-1}(c x)\right )-\frac{b c d^3 \left (1-c^2 x^2\right )^{5/2} \left (a+b \sin ^{-1}(c x)\right )}{x}-\frac{3}{2} c^2 d^3 \left (1-c^2 x^2\right ) \left (a+b \sin ^{-1}(c x)\right )^2-\frac{3}{4} c^2 d^3 \left (1-c^2 x^2\right )^2 \left (a+b \sin ^{-1}(c x)\right )^2-\frac{d^3 \left (1-c^2 x^2\right )^3 \left (a+b \sin ^{-1}(c x)\right )^2}{2 x^2}-\left (3 c^2 d^3\right ) \int \frac{\left (a+b \sin ^{-1}(c x)\right )^2}{x} \, dx+\frac{1}{2} \left (b^2 c^2 d^3\right ) \operatorname{Subst}\left (\int \frac{\left (1-c^2 x\right )^2}{x} \, dx,x,x^2\right )+\frac{1}{8} \left (9 b c^3 d^3\right ) \int \sqrt{1-c^2 x^2} \left (a+b \sin ^{-1}(c x)\right ) \, dx+\left (3 b c^3 d^3\right ) \int \sqrt{1-c^2 x^2} \left (a+b \sin ^{-1}(c x)\right ) \, dx-\frac{1}{4} \left (15 b c^3 d^3\right ) \int \sqrt{1-c^2 x^2} \left (a+b \sin ^{-1}(c x)\right ) \, dx-\frac{1}{8} \left (3 b^2 c^4 d^3\right ) \int x \left (1-c^2 x^2\right ) \, dx+\frac{1}{4} \left (5 b^2 c^4 d^3\right ) \int x \left (1-c^2 x^2\right ) \, dx\\ &=\frac{3}{16} b c^3 d^3 x \sqrt{1-c^2 x^2} \left (a+b \sin ^{-1}(c x)\right )-\frac{7}{8} b c^3 d^3 x \left (1-c^2 x^2\right )^{3/2} \left (a+b \sin ^{-1}(c x)\right )-\frac{b c d^3 \left (1-c^2 x^2\right )^{5/2} \left (a+b \sin ^{-1}(c x)\right )}{x}-\frac{3}{2} c^2 d^3 \left (1-c^2 x^2\right ) \left (a+b \sin ^{-1}(c x)\right )^2-\frac{3}{4} c^2 d^3 \left (1-c^2 x^2\right )^2 \left (a+b \sin ^{-1}(c x)\right )^2-\frac{d^3 \left (1-c^2 x^2\right )^3 \left (a+b \sin ^{-1}(c x)\right )^2}{2 x^2}-\left (3 c^2 d^3\right ) \operatorname{Subst}\left (\int (a+b x)^2 \cot (x) \, dx,x,\sin ^{-1}(c x)\right )+\frac{1}{2} \left (b^2 c^2 d^3\right ) \operatorname{Subst}\left (\int \left (-2 c^2+\frac{1}{x}+c^4 x\right ) \, dx,x,x^2\right )+\frac{1}{16} \left (9 b c^3 d^3\right ) \int \frac{a+b \sin ^{-1}(c x)}{\sqrt{1-c^2 x^2}} \, dx+\frac{1}{2} \left (3 b c^3 d^3\right ) \int \frac{a+b \sin ^{-1}(c x)}{\sqrt{1-c^2 x^2}} \, dx-\frac{1}{8} \left (15 b c^3 d^3\right ) \int \frac{a+b \sin ^{-1}(c x)}{\sqrt{1-c^2 x^2}} \, dx-\frac{1}{8} \left (3 b^2 c^4 d^3\right ) \int \left (x-c^2 x^3\right ) \, dx-\frac{1}{16} \left (9 b^2 c^4 d^3\right ) \int x \, dx+\frac{1}{4} \left (5 b^2 c^4 d^3\right ) \int \left (x-c^2 x^3\right ) \, dx-\frac{1}{2} \left (3 b^2 c^4 d^3\right ) \int x \, dx+\frac{1}{8} \left (15 b^2 c^4 d^3\right ) \int x \, dx\\ &=-\frac{21}{32} b^2 c^4 d^3 x^2+\frac{1}{32} b^2 c^6 d^3 x^4+\frac{3}{16} b c^3 d^3 x \sqrt{1-c^2 x^2} \left (a+b \sin ^{-1}(c x)\right )-\frac{7}{8} b c^3 d^3 x \left (1-c^2 x^2\right )^{3/2} \left (a+b \sin ^{-1}(c x)\right )-\frac{b c d^3 \left (1-c^2 x^2\right )^{5/2} \left (a+b \sin ^{-1}(c x)\right )}{x}+\frac{3}{32} c^2 d^3 \left (a+b \sin ^{-1}(c x)\right )^2-\frac{3}{2} c^2 d^3 \left (1-c^2 x^2\right ) \left (a+b \sin ^{-1}(c x)\right )^2-\frac{3}{4} c^2 d^3 \left (1-c^2 x^2\right )^2 \left (a+b \sin ^{-1}(c x)\right )^2-\frac{d^3 \left (1-c^2 x^2\right )^3 \left (a+b \sin ^{-1}(c x)\right )^2}{2 x^2}+\frac{i c^2 d^3 \left (a+b \sin ^{-1}(c x)\right )^3}{b}+b^2 c^2 d^3 \log (x)+\left (6 i c^2 d^3\right ) \operatorname{Subst}\left (\int \frac{e^{2 i x} (a+b x)^2}{1-e^{2 i x}} \, dx,x,\sin ^{-1}(c x)\right )\\ &=-\frac{21}{32} b^2 c^4 d^3 x^2+\frac{1}{32} b^2 c^6 d^3 x^4+\frac{3}{16} b c^3 d^3 x \sqrt{1-c^2 x^2} \left (a+b \sin ^{-1}(c x)\right )-\frac{7}{8} b c^3 d^3 x \left (1-c^2 x^2\right )^{3/2} \left (a+b \sin ^{-1}(c x)\right )-\frac{b c d^3 \left (1-c^2 x^2\right )^{5/2} \left (a+b \sin ^{-1}(c x)\right )}{x}+\frac{3}{32} c^2 d^3 \left (a+b \sin ^{-1}(c x)\right )^2-\frac{3}{2} c^2 d^3 \left (1-c^2 x^2\right ) \left (a+b \sin ^{-1}(c x)\right )^2-\frac{3}{4} c^2 d^3 \left (1-c^2 x^2\right )^2 \left (a+b \sin ^{-1}(c x)\right )^2-\frac{d^3 \left (1-c^2 x^2\right )^3 \left (a+b \sin ^{-1}(c x)\right )^2}{2 x^2}+\frac{i c^2 d^3 \left (a+b \sin ^{-1}(c x)\right )^3}{b}-3 c^2 d^3 \left (a+b \sin ^{-1}(c x)\right )^2 \log \left (1-e^{2 i \sin ^{-1}(c x)}\right )+b^2 c^2 d^3 \log (x)+\left (6 b c^2 d^3\right ) \operatorname{Subst}\left (\int (a+b x) \log \left (1-e^{2 i x}\right ) \, dx,x,\sin ^{-1}(c x)\right )\\ &=-\frac{21}{32} b^2 c^4 d^3 x^2+\frac{1}{32} b^2 c^6 d^3 x^4+\frac{3}{16} b c^3 d^3 x \sqrt{1-c^2 x^2} \left (a+b \sin ^{-1}(c x)\right )-\frac{7}{8} b c^3 d^3 x \left (1-c^2 x^2\right )^{3/2} \left (a+b \sin ^{-1}(c x)\right )-\frac{b c d^3 \left (1-c^2 x^2\right )^{5/2} \left (a+b \sin ^{-1}(c x)\right )}{x}+\frac{3}{32} c^2 d^3 \left (a+b \sin ^{-1}(c x)\right )^2-\frac{3}{2} c^2 d^3 \left (1-c^2 x^2\right ) \left (a+b \sin ^{-1}(c x)\right )^2-\frac{3}{4} c^2 d^3 \left (1-c^2 x^2\right )^2 \left (a+b \sin ^{-1}(c x)\right )^2-\frac{d^3 \left (1-c^2 x^2\right )^3 \left (a+b \sin ^{-1}(c x)\right )^2}{2 x^2}+\frac{i c^2 d^3 \left (a+b \sin ^{-1}(c x)\right )^3}{b}-3 c^2 d^3 \left (a+b \sin ^{-1}(c x)\right )^2 \log \left (1-e^{2 i \sin ^{-1}(c x)}\right )+b^2 c^2 d^3 \log (x)+3 i b c^2 d^3 \left (a+b \sin ^{-1}(c x)\right ) \text{Li}_2\left (e^{2 i \sin ^{-1}(c x)}\right )-\left (3 i b^2 c^2 d^3\right ) \operatorname{Subst}\left (\int \text{Li}_2\left (e^{2 i x}\right ) \, dx,x,\sin ^{-1}(c x)\right )\\ &=-\frac{21}{32} b^2 c^4 d^3 x^2+\frac{1}{32} b^2 c^6 d^3 x^4+\frac{3}{16} b c^3 d^3 x \sqrt{1-c^2 x^2} \left (a+b \sin ^{-1}(c x)\right )-\frac{7}{8} b c^3 d^3 x \left (1-c^2 x^2\right )^{3/2} \left (a+b \sin ^{-1}(c x)\right )-\frac{b c d^3 \left (1-c^2 x^2\right )^{5/2} \left (a+b \sin ^{-1}(c x)\right )}{x}+\frac{3}{32} c^2 d^3 \left (a+b \sin ^{-1}(c x)\right )^2-\frac{3}{2} c^2 d^3 \left (1-c^2 x^2\right ) \left (a+b \sin ^{-1}(c x)\right )^2-\frac{3}{4} c^2 d^3 \left (1-c^2 x^2\right )^2 \left (a+b \sin ^{-1}(c x)\right )^2-\frac{d^3 \left (1-c^2 x^2\right )^3 \left (a+b \sin ^{-1}(c x)\right )^2}{2 x^2}+\frac{i c^2 d^3 \left (a+b \sin ^{-1}(c x)\right )^3}{b}-3 c^2 d^3 \left (a+b \sin ^{-1}(c x)\right )^2 \log \left (1-e^{2 i \sin ^{-1}(c x)}\right )+b^2 c^2 d^3 \log (x)+3 i b c^2 d^3 \left (a+b \sin ^{-1}(c x)\right ) \text{Li}_2\left (e^{2 i \sin ^{-1}(c x)}\right )-\frac{1}{2} \left (3 b^2 c^2 d^3\right ) \operatorname{Subst}\left (\int \frac{\text{Li}_2(x)}{x} \, dx,x,e^{2 i \sin ^{-1}(c x)}\right )\\ &=-\frac{21}{32} b^2 c^4 d^3 x^2+\frac{1}{32} b^2 c^6 d^3 x^4+\frac{3}{16} b c^3 d^3 x \sqrt{1-c^2 x^2} \left (a+b \sin ^{-1}(c x)\right )-\frac{7}{8} b c^3 d^3 x \left (1-c^2 x^2\right )^{3/2} \left (a+b \sin ^{-1}(c x)\right )-\frac{b c d^3 \left (1-c^2 x^2\right )^{5/2} \left (a+b \sin ^{-1}(c x)\right )}{x}+\frac{3}{32} c^2 d^3 \left (a+b \sin ^{-1}(c x)\right )^2-\frac{3}{2} c^2 d^3 \left (1-c^2 x^2\right ) \left (a+b \sin ^{-1}(c x)\right )^2-\frac{3}{4} c^2 d^3 \left (1-c^2 x^2\right )^2 \left (a+b \sin ^{-1}(c x)\right )^2-\frac{d^3 \left (1-c^2 x^2\right )^3 \left (a+b \sin ^{-1}(c x)\right )^2}{2 x^2}+\frac{i c^2 d^3 \left (a+b \sin ^{-1}(c x)\right )^3}{b}-3 c^2 d^3 \left (a+b \sin ^{-1}(c x)\right )^2 \log \left (1-e^{2 i \sin ^{-1}(c x)}\right )+b^2 c^2 d^3 \log (x)+3 i b c^2 d^3 \left (a+b \sin ^{-1}(c x)\right ) \text{Li}_2\left (e^{2 i \sin ^{-1}(c x)}\right )-\frac{3}{2} b^2 c^2 d^3 \text{Li}_3\left (e^{2 i \sin ^{-1}(c x)}\right )\\ \end{align*}
Mathematica [A] time = 1.38496, size = 494, normalized size = 1.33 \[ \frac{1}{256} d^3 \left (768 i a b c^2 \text{PolyLog}\left (2,e^{2 i \sin ^{-1}(c x)}\right )-768 i b^2 c^2 \sin ^{-1}(c x) \text{PolyLog}\left (2,e^{-2 i \sin ^{-1}(c x)}\right )-384 b^2 c^2 \text{PolyLog}\left (3,e^{-2 i \sin ^{-1}(c x)}\right )-64 a^2 c^6 x^4+384 a^2 c^4 x^2-768 a^2 c^2 \log (x)-\frac{128 a^2}{x^2}-32 a b c^5 x^3 \sqrt{1-c^2 x^2}+336 a b c^3 x \sqrt{1-c^2 x^2}-\frac{256 a b c \sqrt{1-c^2 x^2}}{x}-128 a b c^6 x^4 \sin ^{-1}(c x)+768 a b c^4 x^2 \sin ^{-1}(c x)+768 i a b c^2 \sin ^{-1}(c x)^2-336 a b c^2 \sin ^{-1}(c x)-1536 a b c^2 \sin ^{-1}(c x) \log \left (1-e^{2 i \sin ^{-1}(c x)}\right )-\frac{256 a b \sin ^{-1}(c x)}{x^2}-\frac{256 b^2 c \sqrt{1-c^2 x^2} \sin ^{-1}(c x)}{x}+256 b^2 c^2 \log (c x)-256 i b^2 c^2 \sin ^{-1}(c x)^3+160 b^2 c^2 \sin ^{-1}(c x) \sin \left (2 \sin ^{-1}(c x)\right )+4 b^2 c^2 \sin ^{-1}(c x) \sin \left (4 \sin ^{-1}(c x)\right )-768 b^2 c^2 \sin ^{-1}(c x)^2 \log \left (1-e^{-2 i \sin ^{-1}(c x)}\right )+80 b^2 c^2 \cos \left (2 \sin ^{-1}(c x)\right )-160 b^2 c^2 \sin ^{-1}(c x)^2 \cos \left (2 \sin ^{-1}(c x)\right )+b^2 c^2 \cos \left (4 \sin ^{-1}(c x)\right )-8 b^2 c^2 \sin ^{-1}(c x)^2 \cos \left (4 \sin ^{-1}(c x)\right )+32 i \pi ^3 b^2 c^2-\frac{128 b^2 \sin ^{-1}(c x)^2}{x^2}\right ) \]
Warning: Unable to verify antiderivative.
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Maple [B] time = 0.682, size = 888, normalized size = 2.4 \begin{align*} \text{result too large to display} \end{align*}
Verification of antiderivative is not currently implemented for this CAS.
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Maxima [F] time = 0., size = 0, normalized size = 0. \begin{align*} -\frac{1}{4} \, a^{2} c^{6} d^{3} x^{4} + \frac{3}{2} \, a^{2} c^{4} d^{3} x^{2} - 3 \, a^{2} c^{2} d^{3} \log \left (x\right ) - a b d^{3}{\left (\frac{\sqrt{-c^{2} x^{2} + 1} c}{x} + \frac{\arcsin \left (c x\right )}{x^{2}}\right )} - \frac{a^{2} d^{3}}{2 \, x^{2}} - \int \frac{{\left (b^{2} c^{6} d^{3} x^{6} - 3 \, b^{2} c^{4} d^{3} x^{4} + 3 \, b^{2} c^{2} d^{3} x^{2} - b^{2} d^{3}\right )} \arctan \left (c x, \sqrt{c x + 1} \sqrt{-c x + 1}\right )^{2} + 2 \,{\left (a b c^{6} d^{3} x^{6} - 3 \, a b c^{4} d^{3} x^{4} + 3 \, a b c^{2} d^{3} x^{2}\right )} \arctan \left (c x, \sqrt{c x + 1} \sqrt{-c x + 1}\right )}{x^{3}}\,{d x} \end{align*}
Verification of antiderivative is not currently implemented for this CAS.
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Fricas [F] time = 0., size = 0, normalized size = 0. \begin{align*}{\rm integral}\left (-\frac{a^{2} c^{6} d^{3} x^{6} - 3 \, a^{2} c^{4} d^{3} x^{4} + 3 \, a^{2} c^{2} d^{3} x^{2} - a^{2} d^{3} +{\left (b^{2} c^{6} d^{3} x^{6} - 3 \, b^{2} c^{4} d^{3} x^{4} + 3 \, b^{2} c^{2} d^{3} x^{2} - b^{2} d^{3}\right )} \arcsin \left (c x\right )^{2} + 2 \,{\left (a b c^{6} d^{3} x^{6} - 3 \, a b c^{4} d^{3} x^{4} + 3 \, a b c^{2} d^{3} x^{2} - a b d^{3}\right )} \arcsin \left (c x\right )}{x^{3}}, x\right ) \end{align*}
Verification of antiderivative is not currently implemented for this CAS.
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Sympy [F] time = 0., size = 0, normalized size = 0. \begin{align*} - d^{3} \left (\int - \frac{a^{2}}{x^{3}}\, dx + \int \frac{3 a^{2} c^{2}}{x}\, dx + \int - 3 a^{2} c^{4} x\, dx + \int a^{2} c^{6} x^{3}\, dx + \int - \frac{b^{2} \operatorname{asin}^{2}{\left (c x \right )}}{x^{3}}\, dx + \int - \frac{2 a b \operatorname{asin}{\left (c x \right )}}{x^{3}}\, dx + \int \frac{3 b^{2} c^{2} \operatorname{asin}^{2}{\left (c x \right )}}{x}\, dx + \int - 3 b^{2} c^{4} x \operatorname{asin}^{2}{\left (c x \right )}\, dx + \int b^{2} c^{6} x^{3} \operatorname{asin}^{2}{\left (c x \right )}\, dx + \int \frac{6 a b c^{2} \operatorname{asin}{\left (c x \right )}}{x}\, dx + \int - 6 a b c^{4} x \operatorname{asin}{\left (c x \right )}\, dx + \int 2 a b c^{6} x^{3} \operatorname{asin}{\left (c x \right )}\, dx\right ) \end{align*}
Verification of antiderivative is not currently implemented for this CAS.
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Giac [F] time = 0., size = 0, normalized size = 0. \begin{align*} \int -\frac{{\left (c^{2} d x^{2} - d\right )}^{3}{\left (b \arcsin \left (c x\right ) + a\right )}^{2}}{x^{3}}\,{d x} \end{align*}
Verification of antiderivative is not currently implemented for this CAS.
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