What is the integral of csc^2(x)cot^2(x) ?

The integral of csc^2(x)cot^2(x) is -(cot^3(x))/3+C

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

integral of csc^2(x)cot^2(x)

\int csc^{2} (x) cot^{2} (x) d x

- \frac{cot ^{3} ( x )}{3} + C

Solution steps

\int csc^{2} (x) cot^{2} (x) d x

Apply u-substitution

: \int - u^{2} d u

= \int - u^{2} d u

Take the constant out:

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

= - \int u^{2} d u

Apply the Power Rule

: \frac{u ^{3}}{3}

= - \frac{u ^{3}}{3}

Substitute back

u = cot (x)

= - \frac{cot ^{3} ( x )}{3}

Add a constant to the solution

= - \frac{cot ^{3} ( x )}{3} + C

\int 6 x^{2} tan (x^{3}) d x

\frac{d y}{d x}, 16 x^{2} - 16 x y + y^{2} = 1

f (x) = (x^{3} - 9 x)^{8}, (- 3, 0)

\frac{d y}{d x} + 3 y = 2 x

x^{3}, x, 0, 1

What is the integral of csc^2(x)cot^2(x) ?
The integral of csc^2(x)cot^2(x) is -(cot^3(x))/3+C