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Popular >

integral of 9x^6

Solution

\int 9 x^{6} d x

Solution

\frac{9 x ^{7}}{7} + C

Solution steps

\int 9 x^{6} d x

Take the constant out:

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

= 9 \cdot \int x^{6} d x

Apply the Power Rule

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

= 9 \cdot \frac{x ^{7}}{7}

Multiply fractions:

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

= \frac{9 x ^{7}}{7}

Add a constant to the solution

= \frac{9 x ^{7}}{7} + C

Popular Examples

integral of x^3sqrt(1+16x^2)

\int x^{3} 1 + 16 x^{2} d x

integral of ((x^2-3x))/(sqrt(x))

\int \frac{( x ^{2} - 3 x )}{x} d x

integral of (3x+1)/(x^3-4x^2+x+6)

\int \frac{3 x + 1}{x ^{3} - 4 x ^{2} + x + 6} d x

integral of (t-1)(2+t^2)

\int (t - 1) (2 + t^{2}) d t

integral of (sin(2x))/(sqrt(2-cos(2x)))

\int \frac{sin ( 2 x )}{2 - cos ( 2 x )} d x

Frequently Asked Questions (FAQ)

What is the integral of 9x^6 ?
The integral of 9x^6 is (9x^7)/7+C