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) d...
Make a u-substitution and integrate from u(a) to u(b). x/20 5 tan 5x sec25x dx 15 x/20 5 tan 5x sec 25x dx = [] (Simplify your answer.) -115
Rewrite the expression sec(2) + csc() 1+tan(x) in terms of sin(x). sec(x) + csc(x) 1+tan () Preview Submit Lice Question 4. Points possible: 1 Unlimited attempts. Message instructor about this question
Integrate the following problems. Complete the strategy box to identify "u" and "du". 2 In(x) 2.8 – x² + 3x+1 d. d.x . 15. 17. d.x Sert 1 + cotx (2.x² - 1) dx csc x 16. 18.
2. Integrate the following expression. (6 marks) sec? x tan x dx 3 + sec2 x
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()
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
Use trig identities to rewrite the integral then integrate. 1. 2. 3. 4. 5. 6. tan(r)dr tan(r)dr (sinz + sinz + tan2)/sec2rda Sin.TS2nT (sin(2x)/cosrdr (sin(2))/1+cos2rda (cos(x) + sin(2))/sinrdr tan(r)dr tan(r)dr (sinz + sinz + tan2)/sec2rda Sin.TS2nT (sin(2x)/cosrdr (sin(2))/1+cos2rda (cos(x) + sin(2))/sinrdr
Q1 dx, 115 5xita dx. 2) ſ tan°4x dx . 3) 06-341 S[cos(x? 4) + 1) + xdx, 5) prove that I cscu du = -Inlcscu + cotul + c x2 + Q2 r3 dx 1) dx 2) sino cosºede , 3) /* sec°8 de , 4) * sec`e do , 4) , Port + 4 1 5) dx . 4- x2) 4 Q3 Answer A or B (graph the functions) A-Determine the area of the region enclosed by y...
Verify that the equation is an identity. sec *x-tan 4x = 2 sec 2-1 To verify the identity, start with the more complicated side and transform it to look like the other side. Choose the correct transformations and transfer sec 4x-tan 4x = sec?x + tan x) Factor the difference of two squares. O(secx+ tanºx) (Type an exact answer in simplified form.) Choose an identity, and use it to transform tan-x. Then simplify. = 2 secx-1 7
Find sin(a) and cos(B), tan(a) and cot(B), and sec(a) and cSC(B). a 14 B (a) sin(a) and cos() (b) tan(a) and cot(6) (c) sec(a) and csc()