What is the integral from 0 to 2 of 4ti-t^3j+4t^7k ?

The integral from 0 to 2 of 4ti-t^3j+4t^7k is 8i-j*4+128k

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

integral from 0 to 2 of 4ti-t^3j+4t^7k

\int_{0}^{2} 4 t i - t^{3} j + 4 t^{7} k d t

8 i - j \cdot 4 + 128 k

Solution steps

\int_{0}^{2} 4 t i - t^{3} j + 4 t^{7} k d t

Apply the Sum Rule:

\int f (x) \pm g (x) d x = \int f (x) d x \pm \int g (x) d x

= \int_{0}^{2} 4 t i d t - \int_{0}^{2} t^{3} j d t + \int_{0}^{2} 4 t^{7} k d t

\int_{0}^{2} 4 t i d t = 8 i

\int_{0}^{2} t^{3} j d t = j \cdot 4

\int_{0}^{2} 4 t^{7} k d t = 128 k

= 8 i - j \cdot 4 + 128 k

\frac{d}{d x} (- \frac{x}{x - 1})

x \to 0 lim (\frac{9 cos ( x ) - 9}{x})

\frac{d}{d x} (\frac{x - 6}{3 x - 2})

y = (x^{5} + 2)^{2} (x^{3} + 4)^{4}

\frac{d}{d x} (\frac{1}{2} ln (x^{2} + y^{2}))

What is the integral from 0 to 2 of 4ti-t^3j+4t^7k ?
The integral from 0 to 2 of 4ti-t^3j+4t^7k is 8i-j*4+128k