Calculator-ready answers are acceptable. (cid:90) 3 (cid:90) 2 (a) the function f (x) satis es f (x) dx = 2 and. 2x3 dx. (b) calculate f (x) dx = 7. Simplify your answer. (cid:90) x x3 sin(t2) dt. Calculator-ready answers are acceptable. (cid:90) 3 (cid:90) 2 (a) the function f (x) satis es f (x) dx = 2 and f (x) dx = 7. (cid:90) 3 (cid:2)2f (x)(cid:3) dx. 1 (cid:20)(cid:90) 1 (cid:90) 3 (cid:2)2f (x)(cid:3) dx = 2 (cid:20) (cid:90) 2 (cid:90) 3. = 2(cid:2) 7 + 2(cid:3) = 10. f (x) dx = 2 f (x) dx + Answer: 10 (cid:21) f (x) dx (cid:90) 3. 1 f (x) dx + (cid:21) f (x) dx. Solution: one function with derivative 2x3 is x4. So, by the fundamental theorem of calculus, (cid:90) 2. De ne f (x) = sin(t2) dt. (a) find f (1).