integral of (sin(20t))/(sin(10t))

解答

\int \frac{sin ( 20 t )}{sin ( 10 t )} d x

x sin (20 t) csc (10 t) + C

求解步骤

\int \frac{sin ( 20 t )}{sin ( 10 t )} d x

常数积分:

\int a d x = a x

= \frac{sin ( 20 t )}{sin ( 10 t )} x

使用基本三角恒等式:

\frac{1}{sin ( x )} = csc (x)

= x sin (20 t) csc (10 t)

解答补常数

= x sin (20 t) csc (10 t) + C

\int 3 x^{5} - 5 x^{9} d x

d y = 2 t (y^{2} + 9) d t

n = 1 \sum \infty \frac{1}{n ^{\frac{4}{3}}}

\frac{\partial}{\partial x} (3 x + 6 y)

x \to 0 - lim (\frac{3}{x ^{2}})