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Popular >

integral of in^2x

Solution

\int i n^{2} x d x

Solution

\frac{i n ^{2} x ^{2}}{2} + C

Solution steps

\int i n^{2} x d x

Take the constant out:

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

= i n^{2} \cdot \int x d x

Apply the Power Rule

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

= i n^{2} \frac{x ^{2}}{2}

Multiply fractions:

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

= \frac{i n ^{2} x ^{2}}{2}

Add a constant to the solution

= \frac{i n ^{2} x ^{2}}{2} + C

Popular Examples

tangent of y=sqrt(x^2-x+10),\at x=3 tangent of

y = x^{2} - x + 10, at x = 3

derivative of cos(xln(cos(x))+xsin(x))

\frac{d}{d x} (cos (x) ln (cos (x)) + x sin (x))

derivative of (ln(4x)/(4x))

\frac{d}{d x} (\frac{ln ( 4 x )}{4 x})

area y=4-x^2,y=x+2 area

y = 4 - x^{2}, y = x + 2

(\partial)/(\partial y)(1/(sqrt(xy)))

\frac{\partial}{\partial y} (\frac{1}{x y})

Frequently Asked Questions (FAQ)

What is the integral of in^2x ?
The integral of in^2x is (in^2x^2)/2+C