Vx2- 3 Using trigonometric substitutions, S dx , x > V3, is equal to: Vx2 -9- sec c (:) + c Vx2 – 3- V3sec +C O This option O This option Vx? - 3 – sec Vx2 -9- 3sec(-)+ C + C

Q: Using appropriate substitution | sec*x dx is equal to In|secx + tan x| -1 + C 2cos?x + sec x tan x +…

A:

Q: 2 + tan? (t) Simplify -1 to a single trig function. sec2 (t) No quotients. 2 + tan? (t) sec2 (t)…

A: Use the trigonometry identities and simplify.

Q: cos (t) 1- cos (t) Simplify to an expression involving a single trig function with no fractions.

A: We have given expression, cos2t1-cos2t

Q: Using trigonometric substitution, what is 2 A sec-1 (3) - x²-g 6x² ® 1/1 sec - ¹ (1/3) - B x²-9 2x²…

A:

Q: Vx² + 4x – 5 ,2 using Trigonometric Substitution find x Consider X+2 O -2 +3 sec 0 O3 sec e O -2+…

A: Here, the given integral is: ∫14x2+4x-5x+2dx=∫14x2+4x+4-9x+2dx=∫14(x+2)2-9x+2dx

Q: Vx² -9 What trigonometric substitution should be used to evaluate ? x2 A x=3 sece В x=3 tane C) None…

A:

Q: 4 x² + 4x - 5 Consider using Trigonometric Substitution find x . x +2 sec e O 3 sec e O -2+ sec e O…

A: We have to choose the correct option from the given options according to the given information

Q: Find a function of the form y = A sin(kx) or y = A cos(kx) whose graph matches the function shown…

A:

Q: The interval(s) that contains the root(s) of the equation below is/are: cos +x² – 3x = 0 A. (-2,2) &…

A: Let's find.

Q: Using trigonometric substitution to solve x-2√4 – x²dx = f f (0)d0. What is (a − b + ²)? A B U D I…

A:

Q: (c) Solve the trigonometric equation 3 cos? x - cos 2x = over the domain 0 <xs 27 f(x) = 3 sin x -…

A: (c).  The given trigonometric equation is: 3 cos2x-cos(2x)=54 ;             0≤x≤2π

Q: (a) f 2.r cos(2) dr

A:

Q: Using trigonometric substitutions, S dx is equal to: 4. V16 – x2 + C V16 -x2 + C -4ln -In O This…

A: Integration by substitution

Q: Jsing trigonometric substitution to solve S x-2V4 – x²dx = S° f(0)d0. What is (a – b + ?

A: Integral problems can be simplified by using the trigonometric substitutions in the integral. Basic…

Q: Match the trigonometric function with one of the graphs -VI. Graph 1, 2, 3, 4, 5, or 6 f(x) =…

A: Match the trigonometric function with one of the graphs I-VI  f(x) = sec(2x)

Q: 10. What value of y that is not in the range of the function y cos1 x? A. 0 C. It D. - TC В. 2. 2.

A: We have given y=cos-1x We have to find value of y that is not in the range of the given function. We…

Q: x3 dx using trigonometric substitution, it is best to let V?-9 To evaluate A z=Vx2-9 B x=3 sec 0 x=…

A:

Q: d.) Use a graphing utility to obtain the graph of the equation. [Hint: Use the functions r = V1 +…

A: Any point on the Cartesian coordinate system can be represented as x, y. Any point on the polar…

Q: √x²-9 √ di Using trigonometric substitution, what is f - dx ? x3

A:

Q: lim cos(2r) sec(5x). Solution: (a) Is this an indeterminate form? (b) If yes, which type? (c) Can…

A:

Q: Match the trigonometric function with one of the graphs l-VI. Graph, 1, 2, 3, 4, 5, or 6 6 f(x) = 1+…

A:

Q: x² + 4x - 5 Consider dx using Trigonometric Substitution find x x+2 O 3 sec e sec e O -2+3 sec ở O…

A: Given: ∫14x2+4x-5x+2dx To find x using Trigonometric substitution. Solution: Given integral can be…

Q: 26. Let x = tanA and y = tan 2A. a) Express y in terms of x. b) What type of function was obtained…

A: Tan2x=2tanx/(1-tan2x)

Q: 9- 4x2 In solving for the antiderivative of f(x) = "using trigonometric substitution, is transformed…

A:

Q: 3. Given the function y = (3x? – 6)(1-x), (a) Find the difference quotient Ay/Ax. Ciron the funoti…

A:

Q: (20 points a) Find a formula for f-1 for the function y = f(x) = (– 2x)³ V3 b) Evaluate the…

A: Explanation and solutions is given below....

Q: 1³ dx Evaluate / using the appropriate trigonometric substitution. Show your steps, and express the…

A: Let, Then we integrate using substitution

Q: H.W.3: ExPress the fallowing functions by Cartesian ege 2-=1+2r Cosa 3- ra4 tan& seco tr=D4 Csc

A:

Q: sin 2.xdx S- 19 Vsin x-3 Evaluate: a. 2vsin x-3+C /sin² x-3+C 2 +C sinx-3 с. d. Vsin? x-3+C 20.…

A: We have to evaluate the given Integral.

Q: .4 V x2 + 4x - 5 Consider dx using Trigonometric Substitution find x- x+2 3 sec e -2 + sec 6 sec e…

A:

Q: The graph of a trigònometric function f(t) is given below. 5- 4- 3- 1 -1 3 -2+ Use the graph to find…

A:

Q: | (csc?x + 2 e2" dx = + 7* – 8) - O - cot x + 2e2a + - 8x + C - O tan x + e2a + 7° – 8x + C O - cot…

A: Here, we need to find the value of the integration ∫(csc2x+2e2x+7x-8)dx

Q: lim z?e² = ZI-3i Select one -9 cos 3 – 19 sin 3. .b 9 cos 3 + i9 sin 3. -9 cos 3 + 19 sin 3. .d 9…

A: Given function is: f(z)=limz→-3iz2ez Simplifying given equation is: z=x+iy f(x+iy)=(x+iy)2ex+iy…

Q: secn-2 1 8. Derive the reduction formula sec" r dx a tan a + sec"-2r dr.

A: To derive the reduction formula.

Q: cos(x) sin (x)+4sin(x) 7. Find -dx . A substitution might be helpful

A:

Q: Using trigonometric substitution to solve: f 1 A + C 8 sec x√4-sin2x sin 2x + C 4 cos x√4-sin²x sin…

A: Solution is given below:

Q: x² – 9 dx ? Using trigonometric substitution, what is A) none of the choices 1 seç x² - 9 + C (В +…

A: Sec²(t)-tan²(t)=1 Sin²(t)+cos²(t)=1 Sin(2t)= 2sin(t)cos(t) 2sin²(t)= 1-cos(2t)

Q: ind the critical numbers of the function. (Enter your answers as a comma-separated list.) h(x) =…

A: we have to find the critical point

Q: 5 sin(- W 3. What iIs the frequency of the periodic function f(x) = 2s7 9. О з O 5

A: The given function is  -  f(x) = 5sin3x49

Q: x2 V1-x2 dx Use trigonometric substitution

A:

Q: x²-36 che method of Trigonometric Substitution, evaluate x* 4

A:

Q: (7-cos"(x) cos(x) sin(x) e dx = A) 7 ese(x) +esla(x) +C B) 7 sin(x) -x+etincx) + C C) other

A:

Q: V. Inverse Trigonometric dt 1. S tvt²-a² (t²+1)dt 2. S (t²+4)

A:

Q: x² – 9 dx ? Using trigonometric substitution, what is x² - 9 + C 2x2 1 A 3

A:

Q: 2. S- (1+ 2x-x2)ž 1. dx (Trigonometric Substitution)

A: As per our guideline we are supposed to be answer only one question you can repost other question is…

Q: nd lim sinx -b x2 our answer: b. 2b does not exist ear answer

A:

Q: (x²–1)dx -dx (x*+3x² +1)[tan-1( (В) The evaluation of is ) In tan-|+ -Imlcan-1(기 +c (ii) (iii) None…

A: The solution are next step

Q: .4 x²+4x-5 Consider dx using Trigonometric Substitution find X- 1. x+2 -2 +3 sec 0 3 sec e -2 + sec…

A: To find I=∫14x2+4x-5x+2dx

Q: 1- x2 5.)* /

A: