Question

"the anti derivitive of f(x) plugged into it is 10 and the anti deriv of of f(x) with 3 plugged into it is 6. find the integral of 5 to 3 of f(x). just a quick application of the fundemental theorem of calc." please show your work

inte TU. (3. 4pts) Let h(x)=flog(1 + 1) sin(rº)dt. Compute f(hlx)) = +) Sin(x²) flqcx))=0 "dashx) togxri) sin(x²) =ts) Let the function f(x) be such that ſ'f(x)dx=10 and ) (*)dx = 6. Compute j f(x)dx :

Answer 1

s fox dx 10 / fonde = 6 let lower linit be a Let fra) be the aut derivative I fondre - F(5) - Fla) 2/0 70 (from) dx = F(3) - Fra) -67 0 - © F(5) - F/3) -10-6=4 Fundamental theorem 56 frm) die F15) - F(3) - 4 [from o