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Popular >

integral of xln(4)

Solution

\int x ln (4) d x

Solution

ln (2) x^{2} + C

Solution steps

\int x ln (4) d x

Take the constant out:

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

= ln (4) \cdot \int x d x

ln (4) = 2 ln (2)

= 2 ln (2) \cdot \int x d x

Apply the Power Rule

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

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

Simplify

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

= ln (2) x^{2}

Add a constant to the solution

= ln (2) x^{2} + C

Graph

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integral of 1/(2x^2+5x+2)

\int \frac{1}{2 x ^{2} + 5 x + 2} d x

Frequently Asked Questions (FAQ)

What is the integral of xln(4) ?
The integral of xln(4) is ln(2)x^2+C