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Popular >

integral of 32x

Solution

\int 32 x d x

Solution

16 x^{2} + C

Solution steps

\int 32 x d x

Take the constant out:

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

= 32 \cdot \int x d x

Apply the Power Rule

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

= 32 \cdot \frac{x ^{2}}{2}

Simplify

32 \cdot \frac{x ^{2}}{2} : 16 x^{2}

= 16 x^{2}

Add a constant to the solution

= 16 x^{2} + C

Popular Examples

derivative of 1/(5x^2+4x)

\frac{d}{d x} (\frac{1}{5 x ^{2} + 4 x})

integral of (y/(sqrt(3y+5)))

\int (\frac{y}{3 y + 5}) d y

derivative of (40ln(3x+1))-(x/3)derivative of

(40 ln (3 x + 1)) - (\frac{x}{3})

limit as x approaches 1 of (2x^2)-5x+1

x \to 1 lim ((2 x^{2}) - 5 x + 1)

integral of ((4x^2+x+4))/((x^2+1)^2)

\int \frac{( 4 x ^{2} + x + 4 )}{( x ^{2} + 1 ) ^{2}} d x

Frequently Asked Questions (FAQ)

What is the integral of 32x ?
The integral of 32x is 16x^2+C