Solve \int (2x^3-5x+1)\,dx

Evaluate

\int (2 x^{3} - 5 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 2 x^{3} d x + \int - 5 x d x + \int 1 d x

Evaluate the integral

More Steps

\frac{x ^{4}}{2} + \int - 5 x d x + \int 1 d x

Evaluate the integral

More Steps

\frac{x ^{4}}{2} - \frac{5 x ^{2}}{2} + \int 1 d x

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

\frac{x ^{4}}{2} - \frac{5 x ^{2}}{2} + x

Solution

\frac{x ^{4}}{2} - \frac{5 x ^{2}}{2} + x + C, C \in R

\int (2x^3 5x+1)\,dx