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Popular Calculus >

integral of 8x

Solution

integral

8 x

Solution

4 x^{2} + C

Solution steps

\int 8 x d x

Take the constant out:

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

= 8 \cdot \int x d x

Apply the Power Rule

= 8 \cdot \frac{x ^{2}}{2}

Simplify

8 \cdot \frac{x ^{2}}{2} : 4 x^{2}

= 4 x^{2}

Add a constant to the solution

= 4 x^{2} + C

Graph

Popular Examples

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\int \frac{2 x - 13}{x ^{2} - 8 x + 16} d x

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\int \frac{200}{( x + 2 ) ^{2}} d x

integral of x^7cos(x)

\int x^{7} cos (x) d x

integral of-0.006x^2+0.4x

\int - 0.006 x^{2} + 0.4 x d x

integral of 1/(\sqrt[5]{x^7)}+\sqrt[6]{x}+x^{7/11}

\int \frac{1}{5 x ^{7}} + 6 x + x^{\frac{7}{11}} d x

Frequently Asked Questions (FAQ)

What is the integral of 8x ?
The integral of 8x is 4x^2+C