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Popular >

integral of (-2)(7x)

Solution

\int (- 2) (7 x) d x

Solution

- 7 x^{2} + C

Solution steps

\int (- 2) \cdot 7 x d x

Take the constant out:

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

= (- 2) \cdot 7 \cdot \int x d x

Simplify

= (- 14) \cdot \int x d x

Apply the Power Rule

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

= (- 14) \frac{x ^{2}}{2}

Simplify

(- 14) \frac{x ^{2}}{2} : - 7 x^{2}

= - 7 x^{2}

Add a constant to the solution

= - 7 x^{2} + C

Graph

Popular Examples

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\frac{d}{d x} (\frac{4 e ^{x}}{ln ( x )})

integral of y^2cos(x)-3x^2y-2x

\int y^{2} cos (x) - 3 x^{2} y - 2 x d x

(\partial)/(\partial x)(e^{-7x}cos(10x))

\frac{\partial}{\partial x} (e^{- 7 x} cos (10 x))

tangent of f(x)=10-4e^x,(0,6)tangent of

f (x) = 10 - 4 e^{x}, (0, 6)

derivative of sin(4)

\frac{d}{d x} (sin (4))

Frequently Asked Questions (FAQ)

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