Evaluate using formulas and rules of \int _{ }^{ }(3x^2-4x+1)

x^{3}-2x^{2}+x+C,C \in \mathbb{R}

Solve int _ ^ (3x^2-4x+1)

Evaluate

\int (3 x^{2} - 4 x + 1) d x

Use the property of integral \int f (x) \pm g (x) d x = \int f (x) d x \pm \int g (x) d x

\int 3 x^{2} d x + \int - 4 x d x + \int 1 d x

Evaluate the integral

More Steps

x^{3} + \int - 4 x d x + \int 1 d x

Evaluate the integral

More Steps

x^{3} - 2 x^{2} + \int 1 d x

Use the property of integral \int k d x = k x

x^{3} - 2 x^{2} + x

Solution

x^{3} - 2 x^{2} + x + C, C \in R