What is the integral of cos^2(x ?

The integral of cos^2(x is (x^2cos^2(d))/2+C

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

integral of cos^2(x

\int cos^{2} (d) x d x

\frac{x ^{2} cos ^{2} ( d )}{2} + C

Solution steps

\int cos^{2} (d) x d x

Take the constant out:

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

= cos^{2} (d) \cdot \int x d x

Apply the Power Rule

: \frac{x ^{2}}{2}

= cos^{2} (d) \frac{x ^{2}}{2}

Multiply fractions:

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

= \frac{x ^{2} cos ^{2} ( d )}{2}

Add a constant to the solution

= \frac{x ^{2} cos ^{2} ( d )}{2} + C

y^{^{'}} + 0.121 y = - 3

y^{^{'}} = \frac{( 3 x ^{7} e ^{\frac{y}{x}} + x ^{5} y ^{2} )}{x ^{6} y}

\frac{\partial}{\partial x} (\frac{1}{x + c t})

\int_{l n (2)}^{3} (5 e^{x}) d x

x \to 2 lim (x - 3)