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Popular >

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

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

= - 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

Popular Examples

limit as x approaches-2+of (x+2)/(x^3+8)

x \to - 2 + lim (\frac{x + 2}{x ^{3} + 8})

derivative of 1/(sqrt(x-9))derivative of

\frac{1}{x - 9}

(\partial)/(\partial y)(x^5+xy^7+4)

\frac{\partial}{\partial y} (x^{5} + x y^{7} + 4)

y^'=((3y^2-x^2))/(2xy)

y^{^{'}} = \frac{( 3 y ^{2} - x ^{2} )}{2 x y}

derivative of 2xlog_{6}(sqrt(x))

\frac{d}{d x} (2 x lo g_{6} (x))

Frequently Asked Questions (FAQ)

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