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Popular >

integral of (4x+1)

Solution

\int (4 x + 1) d x

Solution

2 x^{2} + x + C

Solution steps

\int 4 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 4 x d x + \int 1 d x

\int 4 x d x = 2 x^{2}

\int 1 d x = x

= 2 x^{2} + x

Add a constant to the solution

= 2 x^{2} + x + C

Popular Examples

integral of xe^{-x/(10)}

\int x e^{- \frac{x}{10}} d x

integral from 0 to 2 of 2e^x

\int_{0}^{2} 2 e^{x} d x

derivative of (3t-1)(2t-2)^{-1}derivative of

(3 t - 1) (2 t - 2)^{- 1}

limit as x approaches 2 of 3x^2-4x+5

x \to 2 lim (3 x^{2} - 4 x + 5)

derivative of (x^2+4/(x^2-4))

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

Frequently Asked Questions (FAQ)

What is the integral of (4x+1) ?
The integral of (4x+1) is 2x^2+x+C