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Popular >

integral of x^6)

Solution

\int d (x^{6}) d x

Solution

\frac{d x ^{7}}{7} + C

Solution steps

\int d x^{6} d x

Take the constant out:

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

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

Apply the Power Rule

: \frac{x ^{7}}{7}

= d \frac{x ^{7}}{7}

Multiply fractions:

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

= \frac{d x ^{7}}{7}

Add a constant to the solution

= \frac{d x ^{7}}{7} + C

Popular Examples

integral of (2x^2+4)^8

\int (2 x^{2} + 4)^{8} d x

integral of (sqrt(x^2-36))/(2x)

\int \frac{x ^{2} - 36}{2 x} d x

integral of ye^{x^3}

\int y e^{x^{3}}

integral of 5x^4e^{5x^5}

\int 5 x^{4} e^{5 x^{5}} d x

integral of (x/(sqrt(x^2-4)))

\int (\frac{x}{x ^{2} - 4}) d x

Frequently Asked Questions (FAQ)

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