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Popular >

integral of 10x^9

Solution

\int 10 x^{9} d x

Solution

x^{10} + C

Solution steps

\int 10 x^{9} d x

Take the constant out:

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

= 10 \cdot \int x^{9} d x

Apply the Power Rule

: \frac{x ^{10}}{10}

= 10 \cdot \frac{x ^{10}}{10}

Simplify

10 \cdot \frac{x ^{10}}{10} : x^{10}

= x^{10}

Add a constant to the solution

= x^{10} + C

Popular Examples

derivative of cos(ln(6x))

\frac{d}{d x} (cos (ln (6 x)))

integral of 1/((z^2-6z+18)^{3/2)}

\int \frac{1}{( z ^{2} - 6 z + 18 ) ^{\frac{3}{2}}} d z

limit as x approaches 0 of-1

x \to 0 lim (- 1)

tangent of e^{x^7}tangent of

e^{x^{7}}

x^2y^{''}+xy^'+4=0

x^{2} y^{^{''}} + x y^{^{'}} + 4 = 0

Frequently Asked Questions (FAQ)

What is the integral of 10x^9 ?
The integral of 10x^9 is x^{10}+C