find the equation of the curve which passes through by 6x – 5

Explanation

m = \(\frac{dy}{dv}\) = 6x - 5

∫dy = ∫(6x - 5)dx

y = 3x² - 5x + C

when x = 2, y = 5

∴ 5 = 3(2)² - 5(2) +C

C = 3

∴ y = 3x² - 5x + 3