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Popular >

integral of-14x

Solution

\int - 14 x d x

Solution

- 7 x^{2} + C

Solution steps

\int - 14 x d x

Take the constant out:

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

= - 14 \cdot \int x d x

Apply the Power Rule

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

= - 14 \cdot \frac{x ^{2}}{2}

Simplify

- 14 \cdot \frac{x ^{2}}{2} : - 7 x^{2}

= - 7 x^{2}

Add a constant to the solution

= - 7 x^{2} + C

Popular Examples

integral of 1/3 e^{3x+1}

\int \frac{1}{3} e^{3 x + 1} d x

area y=sin(4x),(0.1,0.4)area

y = sin (4 x), (0.1, 0.4)

integral of cos^2(5θ)

\int cos^{2} (5 θ) d θ

(\partial)/(\partial x)(sin(2x))

\frac{\partial}{\partial x} (sin (2 x))

derivative of sqrt(x^4+1)

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

Frequently Asked Questions (FAQ)

What is the integral of-14x ?
The integral of-14x is -7x^2+C