integral of ctanx

解答

\int c t an x d x

\frac{c a t n x ^{2}}{2} + C

求解步骤

\int c t an x d x

提出常数:

\int a \cdot f (x) d x = a \cdot \int f (x) d x

= c a t n \cdot \int x d x

使用幂法则

= c a t n \frac{x ^{2}}{2}

分式相乘:

a \cdot \frac{b}{c} = \frac{a \cdot b}{c}

= \frac{c a t n x ^{2}}{2}

解答补常数

= \frac{c a t n x ^{2}}{2} + C

x \to \infty lim (5^{x} + 1)

a re a x^{2}, 6 - x

t a y l or \frac{1}{1 - x ^{3}}

l a pl a ce t r an s f or m e^{a \cdot t}

d er i v a t i v e f (x) = (\frac{x + 1}{x - 3})^{2}