Intergral Calculus

Question

Find an antiderivative of f(x) = 10x − sec2x + 5 whose graph passes through (pi , 5pi)

Answer 1

F(x) = 5x² - tan(x) + 5x + C

because F'(x) = f(x), that is the derivative of 5x² is 10x, the derivative of tan(x) is sec²(x), the derivative of 5x is 5 and the derivative of C is zero.