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4. Evaluate the definite integrals: A) |_ In xdx 1 xV1+ ln² x I dx cos x sin x a f / Inx di -d
Evaluate the folloMing integrals. Sec (x) d fe I+E dt
Evaluate the folloMing integrals. Sec (x) d fe I+E dt
Evaluate the following indefinite integrals. Show your work please! a) ∫ tan^3 4x dx b) ∫ sec^4 3x dx
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.
Evaluate the following integrals:
Need all work shown, please and thank you! I will rate!
5. [ 17+4?)" 67 -12 d. sec(Inx) tan(Inx) a. X b. Ja tu ar c. sin(2t)dt
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
Evaluate the integrals.
Íx” dx = ſx=3 dx = (x-3) secx tan x dx = j(x?- Var)dx=
Trigonometric Substitution
Please help me and show work, thank you.
If o* tan* () sec(i)dr = 1 express the value of tan (2) sec(1) dr = 1 Hint: Use integration of parts Ju du = u.v-/v.du u=tan(1) du=5 tan" () sec (1) resulting in and thus du =tan(I) sec(x)do v = sec()
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
Indefinite integrals. Use table 5.6 or a change of variables to
evaluate the following indefinite integrals. check your work by
differentiating.
2. 1 dx, x 2 32 xV4x2-I Table 5.6 General Integration Formulas cos ax C a sin ax C 1. cos ax dx = 2. sin ax dr se' 3. 4. ax dx=- ax dx -tan ax C a cot ax C 1 sec ax tan ax dx=-sec ax C 1 --csc ax C csc ax cot ax 5....