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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

derivative of f(x)=4e^{5x^2}(5-x)^7 derivative of

f (x) = 4 e^{5 x^{2}} (5 - x)^{7}

(\partial)/(\partial x)((x+y)e^{y^2})

\frac{\partial}{\partial x} ((x + y) e^{y^{2}})

integral of (sin(x^2))

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

(\partial)/(\partial x)(sqrt(9+x^2+y^2))

\frac{\partial}{\partial x} (9 + x^{2} + y^{2})

(d^2)/(dx^2)((10)/(3x^3))

\frac{d ^{2}}{d x ^{2}} (\frac{10}{3 x ^{3}})

Frequently Asked Questions (FAQ)

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