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Popular >

integral of (x+5)7

Solution

\int (x + 5) 7 d x

Solution

7 (\frac{x ^{2}}{2} + 5 x) + C

Solution steps

\int (x + 5) \cdot 7 d x

Take the constant out:

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

= 7 \cdot \int x + 5 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

= 7 (\int x d x + \int 5 d x)

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

\int 5 d x = 5 x

= 7 (\frac{x ^{2}}{2} + 5 x)

Add a constant to the solution

= 7 (\frac{x ^{2}}{2} + 5 x) + C

Popular Examples

integral of 3/(1-y)

\int \frac{3}{1 - y} d y

area y=-x^2+1,(-1,1)area

y = - x^{2} + 1, (- 1, 1)

derivative of x^3y^2

\frac{d}{d x} (x^{3} y^{2})

limit as n approaches infinity of n/n

n \to \infty lim (\frac{n}{n})

sum from n=1 to infinity of 7/(n^2+36)

n = 1 \sum \infty \frac{7}{n ^{2} + 36}

Frequently Asked Questions (FAQ)

What is the integral of (x+5)7 ?
The integral of (x+5)7 is 7((x^2)/2+5x)+C