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Popular >

integral of (11x)^2

Solution

\int (11 x)^{2} d x

Solution

\frac{121 x ^{3}}{3} + C

Solution steps

\int (11 x)^{2} d x

Simplify

(11 x)^{2} : 121 x^{2}

= \int 121 x^{2} d x

Take the constant out:

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

= 121 \cdot \int x^{2} d x

Apply the Power Rule

: \frac{x ^{3}}{3}

= 121 \cdot \frac{x ^{3}}{3}

Multiply fractions:

a \cdot \frac{b}{c} = \frac{a \cdot b}{c}

= \frac{121 x ^{3}}{3}

Add a constant to the solution

= \frac{121 x ^{3}}{3} + C

Popular Examples

integral of 1/((x+4)^{7/2)}

\int \frac{1}{( x + 4 ) ^{\frac{7}{2}}} d x

y^{^{'}} + 2 x y = 1

(- 2)^{^{'}}

(\partial)/(\partial x)(e^t)

\frac{\partial}{\partial x} (e^{t})

limit as x approaches 1 of x^3-2x+2

x \to 1 lim (x^{3} - 2 x + 2)

Frequently Asked Questions (FAQ)

What is the integral of (11x)^2 ?
The integral of (11x)^2 is (121x^3)/3+C