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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

tangent of y=16sqrt(x),(16,64)tangent of

y = 16 x, (16, 64)

derivative of arctan(3/(x+2))

\frac{d}{d x} (arctan (\frac{3}{x + 2}))

integral of (sin(x))/(2+cos(x))

\int \frac{sin ( x )}{2 + cos ( x )} d x

tangent of f(x)=(x^2+15)(2x+18)tangent of

f (x) = (x^{2} + 15) (2 x + 18)

integral of (16)/(1+x^2)

\int \frac{16}{1 + x ^{2}} d x

Frequently Asked Questions (FAQ)

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