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Popular >

integral of 54x

Solution

\int 54 x d x

Solution

27 x^{2} + C

Solution steps

\int 54 x d x

Take the constant out:

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

= 54 \cdot \int x d x

Apply the Power Rule

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

= 54 \cdot \frac{x ^{2}}{2}

Simplify

54 \cdot \frac{x ^{2}}{2} : 27 x^{2}

= 27 x^{2}

Add a constant to the solution

= 27 x^{2} + C

Popular Examples

integral of 5cos^3(4x)

\int 5 cos^{3} (4 x) d x

derivative of x^{2/3}+1

\frac{d}{d x} (x^{\frac{2}{3}} + 1)

integral of-tcos(t)

\int - t cos (t) d t

tangent of f(x)= 1/(x^2),(1,1)tangent of

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

derivative of (10/(sqrt(x^2-4x+1)))

\frac{d}{d x} (\frac{10}{x ^{2} - 4 x + 1})

Frequently Asked Questions (FAQ)

What is the integral of 54x ?
The integral of 54x is 27x^2+C