Answer:
y = x³ + 2x² - 5
Step-by-step explanation:
using the power rule
• ∫a[tex]x^{n}[/tex] = [tex]\frac{a}{n+1}[/tex] [tex]x^{n+1}[/tex] → (n ≠ - 1 )
y = ∫(3x² + 4x ) dx
y = x³ + 2x² + c ( c is the constant of integration )
to find c use y = - 2 when x = 1
1 + 2 + c = - 2 ⇒ c = - 2 - 3 = - 5
y = x³ + 2x² - 5
