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Popular >

integral of 3x+pi

Solution

\int 3 x + π d x

Solution

\frac{3 x ^{2}}{2} + π x + C

Solution steps

\int 3 x + π 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 x d x + \int π d x

\int 3 x d x = \frac{3 x ^{2}}{2}

\int π d x = π x

= \frac{3 x ^{2}}{2} + π x

Add a constant to the solution

= \frac{3 x ^{2}}{2} + π x + C

Graph

Popular Examples

integral of 8xsin(x^2)

\int 8 x sin (x^{2}) d x

integral of 1/(v^{1/2)}

\int \frac{1}{v ^{\frac{1}{2}}} d v

integral of ((12x^2))/(2x+1)

\int \frac{( 12 x ^{2} )}{2 x + 1} d x

integral of 1/(1-cos(u))

\int \frac{1}{1 - cos ( u )} d u

integral of (3x-1)e^{-x}

\int (3 x - 1) e^{- x} d x

Frequently Asked Questions (FAQ)

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