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Popular >

integral of g(x)

Solution

\int g (x) d x

Solution

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

Solution steps

\int gx d x

Take the constant out:

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

= g \cdot \int x d x

Apply the Power Rule

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

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

Multiply fractions:

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

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

Add a constant to the solution

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

Popular Examples

sum from n=1 to infinity of arctan(12n)

n = 1 \sum \infty arctan (12 n)

integral of x(x+6)^{1/2}

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

integral of 1/(5x+2)

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

integral from 1 to sqrt(2 of)xe^{3x^2}

\int_{1}^{2} x e^{3 x^{2}} d x

\frac{d y}{d x} = \frac{y}{x}

Frequently Asked Questions (FAQ)

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