To evaluate sin42x cos 2x dx , the identities to be used is/are: sin4x, 1+ cos4x &- 2 (А) (B) cos?2x = 1- sin2x C) sin?2x = 1- cos?2x 1- cos4x -&- 2 sin4x (D

Q: 1 - tan³3r - ( ? ) tan3r +r + C, then find the missing ( ?) term. 9. Af ter evaluation, is / tan…

A: To solve the following integral

Q: 2. lim f(x) = x2– 4x +4 X Use the domain [-9,6] to draw the graph. х -2

A:

Q: xªdx Using trigonometric substitution technique, the simplified integral after substitution is: A…

A: Given: integral∫x4x2-4dxwe know that sec2θ-tan2θ=1sec2θ-1=tan2θsubstitute x=2secθ…

Q: T- sinx) ²(1+ sinx Evaluate: sin'x cosx dx sin 10x -+C 10 A sin 10x +C 10 sin x B 8 sinx+C

A: Given query is to find the value of the integral.

Q: dx dx is converted to: 4+Vx By algebraic substitution, the integral - 2ydy y+4 B y+4 © [ vdy y+4 dy…

A: Given, u= ∫dx/(4+√x) We can solve it by substitution method.

Q: 0.5 x° tan- (x2) dx –1

A:

Q: For each part, type your answer in If sin(x) then csc(x) = %3D If cos(z) = then sec(x) = 3. %3D If…

A:

Q: Consider the alternating series -1)"bn with n=4 3n2 bn |3D n2 - 4 (a) Is the sequence {bn}…

A: The given series is: ∑n=4∞(-1)nbn, bn=3n2n2-4

Q: dx dx is converted to: 4+Vx By algebraic substitution, the integral - 2ydy y+4 B y+4 © [ vdy y+4 dy…

A:

Q: Suppose that z + y = 82. dy (1) Use the method of implicit differentiation to find dr dy da (2) Find…

A:

Q: 3600 = 3600(60 + x) gives a person's average speedi -1 The function s(x) = miles per hour if he or…

A:

Q: then udu = – xdx.

A: Follow the procedure given below.

Q: Find the vector PQ × PR if P = (2, 1,0), О %3D (1,5, 2), R = (-1, 13,6) (Give your answer using…

A:

Q: Question 3 x+6 is divided by x-1 4x+24 The restrictions on X, when can be written in the form 2x2…

A:

Q: dm =2 | cosh2m dm A True B False

A: A detailed solution is given below

Q: Given cos A 11 61 and that angle A is in Quadrant I, find the exact value of tan A in simplest…

A: topic- trigonometric ratios

Q: Use the areas shown in the figure to evaluate f(x) dx, y = f(x) Area = 1.5 5 Area = 0.8 a b d Area =…

A:

Q: Find all values x=a where the function is discontinuous. For each value of x, give the limit of the…

A: Let's find.

Q: Evaluate: Je*cos(7e")cos(4e")dx. @cos(3e")- cos(ae) - cos(11e") + C A 22 B 증sin(ae")-2Sn(11e")+c B 1…

A:

Q: If h(x) = cosxdx and h =4, then h (0) is equal to 4 | (A) - 4 B None 3 D -3 (E 4

A: Explained below

Q: 25 - x2 In dx , if we let u=V 25 – x2 , then udu = - xdx. A True B False

A: On solving this we will get

Q: 9. xInx dx

A: Here , we have given a indefinite integral in which two functions are given now we will solve this…

Q: - A ladder of length 17 feet is leaning against a wall. The base of the ladder is moving away from…

A: Given query is to find the rate of change of angle.

Q: If h (x) = cosxdx and h =4, then h (0) is equal to

A: answer is in step 2

Q: The New River Gorge Bridge is 880 feet above the water below. A bottle rocket is launched upward off…

A: To find out the velocity and acceleration.

Q: sin In sin )dx - cos(sin-!x) + C V1-x? A) True B) False

A:

Q: What two nonnegative real numbers with a sum of 50 have the largest possible product? The numbers…

A: We are asked to find the largest possible product of the two non negative number whose sum is 50

Q: 39) (a) Let Ax) = cos(3x – 2). Find f" (x). (153) (b) Let g(x) = 2***. Find g (x).

A:

Q: Which of the following is NOT an improper integral? x²dx A -2 Vx2-1 z/2 B sec x dx z13 tanxdr dx D…

A: Option C

Q: Knowin that "first image" is iqual to zero for any natural number 0<= m < n .   Determine the sum…

A:

Q: 5 sin e cos ede 2. J sin? 0 +3 sin e – 4 2.

A:

Q: Absorption of Drugs The concentration of a drug in an organ at any time t (in seconds) is given by…

A: We have to find the concentration at given time t.

Q: Question 16 Which of the following is one of the correct/convenient steps to evaluate -+dx which…

A:

Q: a.) S dx/x²+4x+5 b.) S(cscx – tanx)²dx

A: topic - indefinite integral

Q: x +1 8. J x(x+ 4)3 dx

A:

Q: I = 3 sin(60?t) + cos(120?t)

A: answer is in next step

Q: On Melissa's 6th birthday, she gets a $4000 CD that earns 3% interest, compounded semiannually. If…

A:

Q: () If h(x) = | cosxdx and h =4, then h (0) is equal to 4 A -3 B 3 4 D -4 E) None C.

A:

Q: sin'x cosx dx Evaluate: (1- sinx)2(1+ sinx)2

A:

Q: To evaluate sin*2x cos 2x dx , the identities to be used is/are: sin4x, 1- cos4x A 2 B cos²2x=1-…

A: Solution:-  This types of trignometric integrals can be solve by reduction formula of integral.

Q: Find an equation of the inverse relation. x°y= -7 3 ... Choose the correct equation below. O B. y= -…

A:

Q: Consider the following curve. y = x, 0sxs 3 Set up an integral in terms of x that can be used to…

A:

Q: Evaluate: Je*cos(7e*)cos(4e*)dx.

A: We need to integrate∫excos7excos4exdxSubstitute ex=tDifferentiate x w.r.t texdx=dtThen∫cos7tcos4tdt

Q: Consider the alternating series (-1)"bn with n=0 1 bn 9+ 5n2

A: answer is in next step

Q: that

A:

Q: e4x dx Which of the following trigonometric substitutions is the most appropriate to the intgral-…

A:

Q: Question 9 x² – 4 Evaluate: V A =Vx² - 4 – 2 sec-+ c =V x2 – 4 + sec¯ + C = 2/x? – 4 + sec + C D x2…

A: The integration of the integral is sqrt(x2-4)/x.

Q: sin?u tan"u du where n is any integer, we use the transformation for tan?u= cos?u In A) True В False

A: Here we have to state whether the given statement is true or false.

Q: linear approximation of log 99

A: Explained below

Q: Consider the following function. Function Factors f(x) = 2x3 + x² – 5x + 2 (x + 2), (x – 1) - (a)…

A: