Question

1)S(5x^3 + 3x - 1,5)dx
2)S(5x - 3)^6 dx
3)S sin 4x dx

Answer 1

$1)\ \int (5x^3+3x-1,5)}dx= \frac{5x^4}{4} + \frac{3x^2}{2} -1,5x+C\\ \\ 2)\ \int (5x-3)^6}dx= \frac{1}{5}* \frac{(5x-3)^7}{7} +C = \frac{(5x-3)^7}{35} + C\\ \\ 3)\ \int sin(4x)}dx= -\frac{1}{4}cos(4x) + C$