integral of-sin(x)-cos(x)

解答

\int - sin (x) - cos (x) d x

cos (x) - sin (x) + C

求解步骤

\int - sin (x) - cos (x) d x

使用积分加法定则:

\int f (x) \pm g (x) d x = \int f (x) d x \pm \int g (x) d x

= - \int sin (x) d x - \int cos (x) d x

\int sin (x) d x = - cos (x)

\int cos (x) d x = sin (x)

= - (- cos (x)) - sin (x)

化简

= cos (x) - sin (x)

解答补常数

= cos (x) - sin (x) + C

y^{^{''}} - 2 y^{^{'}} - 15 y = - 2

\frac{\partial}{\partial x} (\frac{3 y ^{2} - x ^{2}}{y ^{5}})

\frac{\partial}{\partial y} (e^{y} (x^{2} - y^{2}))

\frac{d}{d x} (\frac{4 x ^{2} + 8 x + 4}{x})

d er i v a t i v e tan (x^{π})