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Popular >

integral of x^23

Solution

\int x^{2} 3 d x

Solution

x^{3} + C

Solution steps

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

Take the constant out:

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

= 3 \cdot \int x^{2} d x

Apply the Power Rule

: \frac{x ^{3}}{3}

= 3 \cdot \frac{x ^{3}}{3}

Simplify

3 \cdot \frac{x ^{3}}{3} : x^{3}

= x^{3}

Add a constant to the solution

= x^{3} + C

Graph

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\int \frac{9 x}{x ^{2} + 3} d x

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\int \frac{u ^{3}}{( u + 2 ) ^{2}} d u

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\int 1 cos (n x) d x

integral of (5/2)^2+sqrt(x)-cos(5x)

\int (\frac{5}{2})^{2} + x - cos (5 x) d x

Frequently Asked Questions (FAQ)

What is the integral of x^23 ?
The integral of x^23 is x^3+C