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Popular Calculus >

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

= 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

Graph

Popular Examples

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

integral of 1/(5x+2)

(\partial)/(\partial y)((cy)/(x^2+y^2))

limit as x approaches 2 of 1/(sqrt(x-1))

Frequently Asked Questions (FAQ)

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