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Popular Calculus >

integral of (7x)

Solution

\int (7 x) d x

Solution

\frac{7 x ^{2}}{2} + C

Solution steps

\int 7 x d x

Take the constant out:

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

= 7 \cdot \int x d x

Apply the Power Rule

= 7 \cdot \frac{x ^{2}}{2}

Multiply fractions:

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

= \frac{7 x ^{2}}{2}

Add a constant to the solution

= \frac{7 x ^{2}}{2} + C

Graph

Popular Examples

integral of 1/(1+u^2)

\int \frac{1}{1 + u ^{2}} d u

integral of (x^3)/((1+x^4))

\int \frac{x ^{3}}{( 1 + x ^{4} )} d x

limit as x approaches 0 of x^2+x-3

x \to 0 lim (x^{2} + x - 3)

integral from 0 to 1 of 2piy(y-y^2)

\int_{0}^{1} 2 π y (y - y^{2}) d y

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

\int (2 + 5 x^{4}) x^{3} d x

Frequently Asked Questions (FAQ)

What is the integral of (7x) ?
The integral of (7x) is (7x^2)/2+C