expand (dt)/((1-6t)^4)

الحلّ

expand

\frac{d t}{( 1 - 6 t ) ^{4}}

\frac{d t}{1 - 24 t + 216 t ^{2} - 864 t ^{3} + 1296 t ^{4}}

خطوات الحلّ

\frac{d t}{( 1 - 6 t ) ^{4}}

(1 - 6 t)^{4} = 1 - 24 t + 216 t^{2} - 864 t^{3} + 1296 t^{4}

= \frac{d t}{1 - 24 t + 216 t ^{2} - 864 t ^{3} + 1296 t ^{4}}

\frac{( 3 x - 1 ) ( x + 1 )}{x ( x - 4 )}

- \frac{6 ( 4 161 - 21 )}{61}

\frac{11 S + 10}{10 S ( S + 10 )}

cos (3 t) sin (2 t) e^{4 t} U (t - π)

\frac{( x + 1 ) ^{2}}{49}