What is the integral of (inx^2)/x ?

The integral of (inx^2)/x is (inx^2)/2+C

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integral of (inx^2)/x

\int \frac{in x ^{2}}{x} d x

\frac{in x ^{2}}{2} + C

Solution steps

\int \frac{in x ^{2}}{x} d x

Take the constant out:

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

= in \cdot \int \frac{x ^{2}}{x} d x

Cancel the common factor:

x

= in \cdot \int x d x

Apply the Power Rule

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

= in \frac{x ^{2}}{2}

Multiply fractions:

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

= \frac{in x ^{2}}{2}

Add a constant to the solution

= \frac{in x ^{2}}{2} + C

t \to 0 lim (3 t)

\frac{\partial}{\partial y} (x^{2} + 3 yz + 4 x y)

\frac{d}{d x} (\frac{3}{x ^{2}} + \frac{5}{x ^{4}})

f (x) = x^{2} \cdot ln (x)

\int x e^{- 5 x} d x