Mh 16a quiz 7 find the area under the curve fx x - 12

Question

MATH 16A QUIZ 7-

(1) Circle T(rue) or F(alse). No work required.

(a) T / F: Let f(x) be a differentiable function. Then f(x) + 3 is an anti-derivative of f'(x).

(b) T / F: There exists a constant k such that kx³ is an anti-derivative of (x + 1)².

(2) Find all functions f(x) with the property that f(x) = √x + 1 and f(4) = 0.

(3) Compute

₀∫^{ln 6}e^2x + (3/2)e^x dx

and simplify your answer until you get a whole number.

(4) Find the area under the curve f(x) = (x - 1)² + 1/6 between x = 0 and x = 2. Simplify your answer until you get a whole number.