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Popular >

integral of 9x^5

Solution

\int 9 x^{5} d x

Solution

\frac{3 x ^{6}}{2} + C

Solution steps

\int 9 x^{5} d x

Take the constant out:

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

= 9 \cdot \int x^{5} d x

Apply the Power Rule

: \frac{x ^{6}}{6}

= 9 \cdot \frac{x ^{6}}{6}

Simplify

9 \cdot \frac{x ^{6}}{6} : \frac{3 x ^{6}}{2}

= \frac{3 x ^{6}}{2}

Add a constant to the solution

= \frac{3 x ^{6}}{2} + C

Popular Examples

integral of sin(r^2)

\int sin (r^{2}) d r

integral of cos(2pit)

\int cos (2 π t) d t

integral of (e^x)/(sqrt(9-e^{2x))}

\int \frac{e ^{x}}{9 - e ^{2 x}} d x

(\partial)/(\partial u)(sqrt(u^5+v^7))

\frac{\partial}{\partial u} (u^{5} + v^{7})

(\partial)/(\partial x)(sqrt(y^2+16))

\frac{\partial}{\partial x} (y^{2} + 16)

Frequently Asked Questions (FAQ)

What is the integral of 9x^5 ?
The integral of 9x^5 is (3x^6)/2+C