展开 cot(\sqrt[4]{(8x^3-9)^3})-3sin(12x-1)

解答

展开

cot (4 (8 x^{3} - 9)^{3}) - 3 sin (12 x - 1)

cot (4 512 x^{9} - 1728 x^{6} + 1944 x^{3} - 729) - 3 sin (12 x - 1)

求解步骤

cot (4 (8 x^{3} - 9)^{3}) - 3 sin (12 x - 1)

4 (8 x^{3} - 9)^{3} = 4 512 x^{9} - 1728 x^{6} + 1944 x^{3} - 729

= cot (4 512 x^{9} - 1728 x^{6} + 1944 x^{3} - 729) - 3 sin (12 x - 1)

e x p an d Q (3, - 4)

e x p an d \frac{( x - 5 ) e ^{x}}{( x - 3 ) ^{3}}

e x p an d \frac{e ^{- 2 x}}{( x - 1 ) ( x + 4 ) ^{2}}

e x p an d \frac{x ^{2} ( 8 - x ) ^{3}}{24}

e x p an d \frac{d x}{( x + 5 ) ( x + 2 )}