Question

Tìm:

a) \(\int\left(3x^2+1\right)dx;\)                        b) \(\int\left(2x-1\right)^2dx\).

Answer 1

a) \(\int {\left( {3{x^2} + 1} \right)dx}  = 3\int {{x^2}dx + \int {1dx = {x^3} + x + C} } \);

b) \(\int {{{\left( {2x - 1} \right)}^2}dx}  = \int {\left( {4{x^2} - 4x + 1} \right)dx = 4\int {{x^2}dx - 4\int {xdx + \int {dx = \frac{{4{x^3}}}{3} - 2{x^2} + x + C} } } } \).