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

解答

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

- cos (sin (x)) + C

求解步骤

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

使用换元积分法

= \int sin (u) d u

使用积分常见定则:

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

= - cos (u)

u = sin (x)

代回

= - cos (sin (x))

解答补常数

= - cos (sin (x)) + C

a re a y = 6 cos (π x), y = 8 x^{2} - 2, - 0.5, 0.5

\int \frac{1}{2 + 2 x} d x

\int sin (ln (13 x)) d x

t an g e n t f (x) = 2 x^{2} + 5 x, at x = - 3

\frac{d ^{2} h}{d t ^{2}} = - kh