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Popular >

integral of (9x+2)

Solution

\int (9 x + 2) d x

Solution

\frac{9 x ^{2}}{2} + 2 x + C

Solution steps

\int 9 x + 2 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 9 x d x + \int 2 d x

\int 9 x d x = \frac{9 x ^{2}}{2}

\int 2 d x = 2 x

= \frac{9 x ^{2}}{2} + 2 x

Add a constant to the solution

= \frac{9 x ^{2}}{2} + 2 x + C

Popular Examples

integral of (4x^2+3x^{-2})

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

integral of sin^2(2x)integral

sin^{2} (2 x)

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\int x^{5} x^{6} + 19 d x

integral of 2sin(2y)

\int 2 sin (2 y) d y

integral of ((8x+8))/(x(x-1))

\int \frac{( 8 x + 8 )}{x ( x - 1 )} d x

Frequently Asked Questions (FAQ)

What is the integral of (9x+2) ?
The integral of (9x+2) is (9x^2)/2+2x+C