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Popular >

integral of 2x-1/5

Solution

\int 2 x - \frac{1}{5} d x

Solution

x^{2} - \frac{1}{5} x + C

Solution steps

\int 2 x - \frac{1}{5} 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 x d x - \int \frac{1}{5} d x

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

\int \frac{1}{5} d x = \frac{1}{5} x

= x^{2} - \frac{1}{5} x

Add a constant to the solution

= x^{2} - \frac{1}{5} x + C

Popular Examples

integral of xe^{2y}

\int x e^{2 y} d x

integral of xe^{-jwx}

\int x e^{- j w x} d x

integral of (e^x)/(1-sqrt(e^x))

\int \frac{e ^{x}}{1 - e ^{x}} d x

integral of (x+5)^{15}

\int (x + 5)^{15} d x

integral of 7xe^{7x^2}

\int 7 x e^{7 x^{2}} d x

Frequently Asked Questions (FAQ)

What is the integral of 2x-1/5 ?
The integral of 2x-1/5 is x^2-1/5 x+C