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Popular >

integral of 2ax+1

Solution

\int 2 a x + 1 d x

Solution

a x^{2} + x + C

Solution steps

\int 2 a x + 1 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 2 a x d x + \int 1 d x

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

\int 1 d x = x

= a x^{2} + x

Add a constant to the solution

= a x^{2} + x + C

Popular Examples

integral of y/(4+y^2)

\int \frac{y}{4 + y ^{2}} d y

integral of 2/(x(3x-8))

\int \frac{2}{x ( 3 x - 8 )} d x

derivative of xin(x)

\frac{d}{d x} (x in (x))

integral of ln(4+x^2)

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

integral of (2x+y)

\int (2 x + y) d x

Frequently Asked Questions (FAQ)

What is the integral of 2ax+1 ?
The integral of 2ax+1 is ax^2+x+C