展开 e^{sin(x)}(cos^2(x)-sin(x))

解答

展开

e^{s i n (x)} (cos^{2} (x) - sin (x))

e^{s i n (x)} cos^{2} (x) - e^{s i n (x)} sin (x)

求解步骤

e^{s i n (x)} (cos^{2} (x) - sin (x))

使用分配律:

a (b - c) = ab - a c

a = e^{s i n (x)}, b = cos^{2} (x), c = sin (x)

= e^{s i n (x)} cos^{2} (x) - e^{s i n (x)} sin (x)

e x p an d (x^{2} - x + 1)^{6}

e x p an d \frac{4 ( 2 2 - 3 )}{5}

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

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

e x p an d \frac{3 x ^{4} + x ^{6}}{96} + (\frac{( x + 2 ) ( x ^{2} + x + 1 )}{24})