What is the integral of tcos(n)t ?

The integral of tcos(n)t is 1/3 t^3cos(n)+C

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

integral of tcos(n)t

\int t cos (n) t d t

\frac{1}{3} t^{3} cos (n) + C

Solution steps

\int t cos (n) t d t

Take the constant out:

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

= cos (n) \cdot \int tt d t

Simplify

tt : t^{2}

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

Apply the Power Rule

: \frac{t ^{3}}{3}

= cos (n) \frac{t ^{3}}{3}

Simplify

cos (n) \frac{t ^{3}}{3} : \frac{1}{3} t^{3} cos (n)

= \frac{1}{3} t^{3} cos (n)

Add a constant to the solution

= \frac{1}{3} t^{3} cos (n) + C

\int (1 + 4 x^{2})^{\frac{3}{2}} d x

\int (24 x^{5} - 12 x^{3} - x + 2) d x

\int \frac{3 x ^{2} + 5}{x ^{3} + 5 x + 2} d x

\int \frac{x}{ln ( x ^{2} )} d x

\int sec^{4} (8 x) d x