en

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

integral of x^2-5x^6

Solution

\int x^{2} - 5 x^{6} d x

Solution

\frac{x ^{3}}{3} - \frac{5 x ^{7}}{7} + C

Solution steps

\int x^{2} - 5 x^{6} d x

Apply the Sum Rule:

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

= \int x^{2} d x - \int 5 x^{6} d x

\int x^{2} d x = \frac{x ^{3}}{3}

\int 5 x^{6} d x = \frac{5 x ^{7}}{7}

= \frac{x ^{3}}{3} - \frac{5 x ^{7}}{7}

Add a constant to the solution

= \frac{x ^{3}}{3} - \frac{5 x ^{7}}{7} + C

Graph

Popular Examples

integral of (x+4)^{14}

\int (x + 4)^{14} d x

derivative of tan^3(x/4)

\frac{d}{d x} (tan^{3} (\frac{x}{4}))

(\partial)/(\partial x)(tan(3+2x^2y^4z^2))

\frac{\partial}{\partial x} (tan (3 + 2 x^{2} y^{4} z^{2}))

integral of-xe^{2x}

\int - x e^{2 x} d x

integral of 9xarcsin(x)

\int 9 x arcsin (x) d x

Frequently Asked Questions (FAQ)

What is the integral of x^2-5x^6 ?
The integral of x^2-5x^6 is (x^3)/3-(5x^7)/7+C