integral of cos(t)-sin(t)

解答

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

sin (t) + cos (t) + C

求解步骤

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

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

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

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

= sin (t) - (- cos (t))

化简

= sin (t) + cos (t)

解答补常数

= sin (t) + cos (t) + C

f (x) = x^{3} + x

\frac{d y}{d x} (2 x + y + 1) = 1

\frac{d}{d x} (3 x^{2} + 2 y x)

a re a - 4 x^{2} + 6.25 x + 8, 2.5 x + 7, 0

a re a y = 4, 2 x, \frac{( - 3 x + 7 )}{2}