en

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

integral of 6x^7

Solution

\int 6 x^{7} d x

Solution

\frac{3 x ^{8}}{4} + C

Solution steps

\int 6 x^{7} d x

Take the constant out:

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

= 6 \cdot \int x^{7} d x

Apply the Power Rule

: \frac{x ^{8}}{8}

= 6 \cdot \frac{x ^{8}}{8}

Simplify

6 \cdot \frac{x ^{8}}{8} : \frac{3 x ^{8}}{4}

= \frac{3 x ^{8}}{4}

Add a constant to the solution

= \frac{3 x ^{8}}{4} + C

Graph

Popular Examples

area 5/x ,5x,0,5 area

\frac{5}{x}, 5 x, 0, 5

(d^2)/(dx^2)(4sin(3x))

\frac{d ^{2}}{d x ^{2}} (4 sin (3 x))

integral of 4sqrt(t)

\int 4 t d t

inverse oflaplace (12s+5)/(s(s+3))inverse laplace

\frac{12 s + 5}{s ( s + 3 )}

(\partial)/(\partial x)(x(1-x))

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

Frequently Asked Questions (FAQ)

What is the integral of 6x^7 ?
The integral of 6x^7 is (3x^8)/4+C