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Popular >

integral of (2x+6)5

Solution

\int (2 x + 6) 5 d x

Solution

5 (x^{2} + 6 x) + C

Solution steps

\int (2 x + 6) \cdot 5 d x

Take the constant out:

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

= 5 \cdot \int 2 x + 6 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

= 5 (\int 2 x d x + \int 6 d x)

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

\int 6 d x = 6 x

= 5 (x^{2} + 6 x)

Add a constant to the solution

= 5 (x^{2} + 6 x) + C

Popular Examples

integral of 1/(x^6)

\int \frac{1}{x ^{6}} d x

derivative of (5+3x-6sqrt(x)/x)

\frac{d}{d x} (\frac{5 + 3 x - 6 x}{x})

(-4x+3y-7)dx-(x+1)dy=0

(- 4 x + 3 y - 7) d x - (x + 1) d y = 0

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

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

integral of 1/(sin(x))(cos(x))/(sin(x))

\int \frac{1}{sin ( x )} \frac{cos ( x )}{sin ( x )} d x

Frequently Asked Questions (FAQ)

What is the integral of (2x+6)5 ?
The integral of (2x+6)5 is 5(x^2+6x)+C