Mathematics calculus

Question

Find the area (in square units) of the region under the graph of the function f on the interval [3, 7].

f(x) = 4e^x − x

Answer 1

∫₃⁷ 4e^x - x dx = 4e^x - 1/2x² ]₃⁷ = 4e⁷ - 49/2 - (4e³ - 9/2) = 4(e⁷ - e³ - 5)