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Popular >

integral of 7-x

Solution

\int 7 - x d x

Solution

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

Solution steps

\int 7 - x d x

Apply the Sum Rule:

\int f (x) \pm g (x) d x = \int f (x) d x \pm \int g (x) d x

= \int 7 d x - \int x d x

\int 7 d x = 7 x

\int x d x = \frac{x ^{2}}{2}

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

Add a constant to the solution

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

Popular Examples

integral of 3e^{2x}

\int 3 e^{2 x} d x

(\partial)/(\partial y)(x^2y+xy^3)

\frac{\partial}{\partial y} (x^{2} y + x y^{3})

(\partial)/(\partial x)(cos(x)cos(y))

\frac{\partial}{\partial x} (cos (x) cos (y))

(dx)/(dt)=(457.8-7x)/(2180)

\frac{d x}{d t} = \frac{457.8 - 7 x}{2180}

derivative of (1-e^{x^3})^5 derivative of

(1 - e^{x^{3}})^{5}

Frequently Asked Questions (FAQ)

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