integrate. state du and u a) tan(4x sec (4x)dr dx r +1 b) dx x +1 c) csc (3xax a) tan(4x sec (4x)dr dx r +1 b) dx x +1 c) csc (3xax
Evaluate the integral. tan 5x sec25x dx al ſ tan 5x sec ?5x dx = 0 TEL
Stan®x.secs x dx tanºx a) 2 tan' x tanºx + +c 5 sec b) 2 sec + secx 5 + c 9 sec? sec5 x c) + c d) None of the above
2. Integrate the following expression. (6 marks) sec? x tan x dx 3 + sec2 x
-1 -1 d. + = = 2 tan x tan x-sec x tan x + secx
Find a solution 6. (e* sin y + tan y)dx + (e* cos y + x(sec y)2)dy = 0.
find a solution 6. (e* sin y + tan y)dx + (e* cos y + x(sec y)2)dy = 0.
Show that tan(x) – 1 2. Let y = sec(x) 1 + tan(x) y' sec(x) 3. Find all x-values where the graph of f(x) = x – 2 cos(x)has a horizontal tangent line.
1. Compute the following integrals. (a) [6pts] | Vi Ina de (b) (ópts/ tan” x sec x dx dx (0) [10pts) / vz2+1 х 5.x2 - x + 2 (a) [10pts] / dx x3 + x (e) [6pts] dx 1 (6) (6pts | e-</2 dx
Evaluate the integral sec 2(7x-2) dx Determine a change of variables from x to u. Choose the correct choice below. O A. u= sec (7x - 2) tan (7x - 2) O B. u=tan (7x-2) O c. u= sec (7x - 2) OD. u = 7x-2 Write the integral in terms of u. sec?(7x+2) dx = S du Evaluate the integral sec2(7x-2) dx = 0