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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

derivative of (9x^6+8x^3^4)

\frac{d}{d x} ((9 x^{6} + 8 x^{3})^{4})

limit as x approaches+1+of x

x \to + 1 + lim (x)

limit as x approaches 9 of 5/(x+5)

x \to 9 lim (\frac{5}{x + 5})

sum from n=0 to infinity of (x-3)^n

n = 0 \sum \infty (x - 3)^{n}

derivative of arctan(sqrt(3t))derivative of

arctan (3 t)

Frequently Asked Questions (FAQ)

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