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Popular Calculus >

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

= 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

Graph

Popular Examples

limit as x approaches 0 of-1

x \to 0 lim (- 1)

tangent of e^{x^7}

t an g e n t e^{x^{7}}

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

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

y^{''}+7y^'-3y=0,y(0)=-3,y^'(0)=7

y^{^{''}} + 7 y^{^{'}} - 3 y = 0, y (0) = - 3, y^{^{'}} (0) = 7

integral of (2x^{3/2})/3

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

Frequently Asked Questions (FAQ)

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