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Popular >

integral of (8x)

Solution

\int (8 x) d 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

: \frac{x ^{2}}{2}

= 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

Popular Examples

f^{''}(x)=5x^2-10x-6/(x^4)

f^{^{''}} (x) = 5 x^{2} - 10 x - \frac{6}{x ^{4}}

integral of (e^{7ln(x)})/(x^8)

\int \frac{e ^{7 l n (x)}}{x ^{8}} d x

derivative of (x^3-3/(2x+5))

\frac{d}{d x} (\frac{x ^{3} - 3}{2 x + 5})

integral of 1/(sqrt(196+x^2))

\int \frac{1}{196 + x ^{2}} d x

tangent of f(x)= 2/(x+2),\at x=1 tangent of

f (x) = \frac{2}{x + 2}, at x = 1

Frequently Asked Questions (FAQ)

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