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Popular >

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 (4t^3+1)^{5/3}t^2

\int (4 t^{3} + 1)^{\frac{5}{3}} t^{2} d t

integral of (2x+8)^4

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

integral of 1/(sin^2(x)+cos^2(x))

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

integral of ((cos(x))^2)/(sin(x))

\int \frac{( cos ( x ) ) ^{2}}{sin ( x )} d x

Frequently Asked Questions (FAQ)

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