Calculus 1 question (antiderivative/integrals?)

Question

Find the equation of y, given the derivative and the indicated point on the curve.

dy/dx = 2x - 1

Answer 1

Here you go! Hope this helps!

Answer 2

dy/dx = 2x - 1 and y = 3 when x = 1

dy = (2x - 1)dx

∫dy = ∫(2x - 1)dx

y = x² - x + C

Since y = 3 when x = 1, 3 = 1 - 1 + C. So, C = 3.

Therefore, y = x² - x + 3.