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Popular >

integral of 6x^6

Solution

\int 6 x^{6} d x

Solution

\frac{6 x ^{7}}{7} + C

Solution steps

\int 6 x^{6} d x

Take the constant out:

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

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

Apply the Power Rule

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

= 6 \cdot \frac{x ^{7}}{7}

Multiply fractions:

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

= \frac{6 x ^{7}}{7}

Add a constant to the solution

= \frac{6 x ^{7}}{7} + C

Popular Examples

derivative of (e^x/(4-x))

\frac{d}{d x} (\frac{e ^{x}}{4 - x})

y^{''}-2y^'+y=te^t

y^{^{''}} - 2 y^{^{'}} + y = t e^{t}

integral of p(p+5)^5

\int p (p + 5)^{5} d p

limit as x approaches infinity of 1/2 x

x \to \infty lim (\frac{1}{2} x)

tangent of 1/3 x^3-3x^2+10x+6,\at x=2 tangent of

\frac{1}{3} x^{3} - 3 x^{2} + 10 x + 6, at x = 2

Frequently Asked Questions (FAQ)

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