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Popular >

integral of 2x^6

Solution

\int 2 x^{6} d x

Solution

\frac{2 x ^{7}}{7} + C

Solution steps

\int 2 x^{6} d x

Take the constant out:

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

= 2 \cdot \int x^{6} d x

Apply the Power Rule

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

= 2 \cdot \frac{x ^{7}}{7}

Multiply fractions:

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

= \frac{2 x ^{7}}{7}

Add a constant to the solution

= \frac{2 x ^{7}}{7} + C

Popular Examples

integral of e^2xcos(3x)

\int e^{2} x cos (3 x) d x

integral of x^3e^{x^2}

\int x^{3} e^{x^{2}} d x

(\partial)/(\partial x)(sin(xyz^3))

\frac{\partial}{\partial x} (sin (x y z^{3}))

integral from 0 to 5 of e^{3x}

\int_{0}^{5} e^{3 x} d x

4y^{''}-16y^'+19y=0

4 y^{^{''}} - 16 y^{^{'}} + 19 y = 0

Frequently Asked Questions (FAQ)

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