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
* 17. solve the integration (2 Points) Setan x+2 In(secx) dx = sec? x + c sec? x etanx + c tan x + c etan x + c
-1 -1 d. + = = 2 tan x tan x-sec x tan x + secx
Verify the identity. 1- tanx 1-tan secx Factor the numerator (tanx-1)(1+tan %) (1 - tan²x) (1-tan?:) (1+tan :) (1 - tanºx) Simplify the fraction O 1+tanºx Use an identity to simplify the expression from the previous step 1-tan O sec? 0 1
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
Verify that the equation is an identity. secºx- tan x=2 sec?x-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 transform the e each step Factor the ecºx - tanx= (sec?x+tan tan) two squares. sec difference of (Тут sec?x-2 sec x tan x + tan x sec?x+2 sec x tanx + tanx sec?x + tanx secx-tan? Choose an identity, ar 2. ary ans se y...
What is (2 sec æ tan x + 1)dx? 0
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...
Evaluate the integrals. Íx” dx = ſx=3 dx = (x-3) secx tan x dx = j(x?- Var)dx=
2. Integrate the following expression. (6 marks) sec? x tan x dx 3 + sec2 x