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Popular >

integral of (3+x)

Solution

\int (3 + x) d x

Solution

3 x + \frac{x ^{2}}{2} + C

Solution steps

\int 3 + 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 3 d x + \int x d x

\int 3 d x = 3 x

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

= 3 x + \frac{x ^{2}}{2}

Add a constant to the solution

= 3 x + \frac{x ^{2}}{2} + C

Popular Examples

integral of p(p+2)^6

\int p (p + 2)^{6} d p

derivative of 1/(x^2-3/(x^4))

\frac{d}{d x} (\frac{1}{x ^{2}} - \frac{3}{x ^{4}})

area y=x^4,y=x area

y = x^{4}, y = x

derivative of x^2(3x^4-7x+2)

\frac{d}{d x} (x^{2} (3 x^{4} - 7 x + 2))

derivative of (sec(x)/(4x^2+5))

\frac{d}{d x} (\frac{sec ( x )}{4 x ^{2} + 5})

Frequently Asked Questions (FAQ)

What is the integral of (3+x) ?
The integral of (3+x) is 3x+(x^2)/2+C