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Popular >

integral of ln(5)x

Solution

\int ln (5) x d x

Solution

\frac{1}{2} ln (5) x^{2} + C

Solution steps

\int ln (5) x d x

Take the constant out:

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

= ln (5) \cdot \int x d x

Apply the Power Rule

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

= ln (5) \frac{x ^{2}}{2}

Simplify

ln (5) \frac{x ^{2}}{2} : \frac{1}{2} ln (5) x^{2}

= \frac{1}{2} ln (5) x^{2}

Add a constant to the solution

= \frac{1}{2} ln (5) x^{2} + C

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\int e^{a x} sin (n x) d x

Frequently Asked Questions (FAQ)

What is the integral of ln(5)x ?
The integral of ln(5)x is 1/2 ln(5)x^2+C