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Popular >

integral of (3+2x)

Solution

\int (3 + 2 x) d x

Solution

3 x + x^{2} + C

Solution steps

\int 3 + 2 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 2 x d x

\int 3 d x = 3 x

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

= 3 x + x^{2}

Add a constant to the solution

= 3 x + x^{2} + C

Popular Examples

integral of (1-x^2)^{(-1)/2}

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

(\partial}{\partial s}(\frac{s-r)/t)

\frac{\partial}{\partial s} (\frac{s - r}{t})

derivative of x/(2-sqrt(x))

\frac{d}{d x} (\frac{x}{2 - x})

slope of x^2+y^2=25 slope

x^{2} + y^{2} = 25

integral of 8/((x^2+1)^{3/2)}

\int \frac{8}{( x ^{2} + 1 ) ^{\frac{3}{2}}} d x

Frequently Asked Questions (FAQ)

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