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Popular >

integral of In(x)

Solution

\int I n (x) d x

Solution

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

Solution steps

\int I n x d x

Take the constant out:

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

= I n \cdot \int x d x

Apply the Power Rule

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

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

Multiply fractions:

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

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

Add a constant to the solution

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

Popular Examples

taylor ln(1-2x)taylor

ln (1 - 2 x)

derivative of y=sqrt(x+4)derivative of

y = x + 4

integral of (x+1)/(x^2-x-6)

\int \frac{x + 1}{x ^{2} - x - 6} d x

derivative of (e^x+1^7)

\frac{d}{d x} ((e^{x} + 1)^{7})

integral of (x-3)/(-x^2+4x-5)

\int \frac{x - 3}{- x ^{2} + 4 x - 5} d x

Frequently Asked Questions (FAQ)

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