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Popular Calculus >

integral of-1+2x

Solution

\int - 1 + 2 x d x

Solution

- x + x^{2} + C

Solution steps

\int - 1 + 2 x 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 1 d x + \int 2 x d x

\int 1 d x = x

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

= - x + x^{2}

Add a constant to the solution

= - x + x^{2} + C

Graph

Popular Examples

integral of (x^4-x)

\int (x^{4} - x) d x

integral of (2x+8)^4

\int (2 x + 8)^{4} d x

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

\int x + \frac{1}{x ^{3}} - 3 e^{3 x} d x

integral of (x-1)/(sqrt(2x)+\sqrt{x+1)}

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

integral of ((e^{2x}))/(1+e^x)

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

Frequently Asked Questions (FAQ)

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