cos z Using a suitable substitution, the integral J6 sin? z+7 sin z +12 dz is given by: Select one: (-) du а. u+3 O b. None of these Oc f (금5 + u+3 u+4 d. du u+3 u+4 np (4 - )

Q: Substitute x = V2tan0 ,so the integral dz in terms of 0 is equal: IV +2 Select one: O a. v2 S sec'0…

A: We need substitution method

Q: Using a suitable substitution, the integral /4 T/6 cos? r+cos z-2 3 sin z d.x is given by: Select…

A: According to the integration, we have

Q: The integral sin a cos a dæ can be solved using different substitutions. Which of the following are…

A: For  ∫sinx cosx dx we have to find the right substitute to solve.

Q: (Type an exact answer, using radicals asn 3 csc 0 cot 0 d0 = 3n / 4 %3D 3 csc 0 cot 0 d0 3n / 4…

A:

Q: Evaluate the integral using the indicated trigonometric substitution Select the correct answer. 9 1…

A:

Q: If the appropriate trigonometric substitution is used to simplify the integral the resulting…

A: Given Integral,I = ∫ x2 dx4+x2Let x = 2tanθ⇒ dxdθ = 2 ddθ (tanθ)     dxdθ = 2sec2θ      dx = 2sec2θ…

Q: Which trigonometric substitution would you use in evaluating the following integral? (64 + 9 x²)-5/2…

A: Given ∫(64+9x2)-52

Q: Let y be a line segment from z = 2i to z=7+2i. What is the value of the integral fs (2 )dz , where f…

A:

Q: Evaluate the integral. m/4 cos ti+9 snt d

A:

Q: n = 10, approximate the integral ST ₂ Give the error of approximation for each a cos rd.r

A: Mid point rule for integral .…

Q: Which of the following is correct? 1. cosh?x +sinh²x = 1. II. sinh x cosh y = sinh (x + y) + sinh (x…

A:

Q: Evaluate the following integral: || x cos (y) dA, cos²(y) dA, R = [-1,2] × [0,7] R Please choose…

A: A multivariable function z=f(x,y) is a rule connecting one dependent variable z and two or more…

Q: Evaluate the integral. 1/2 | [6 cos ti-3 sin tj+ sin 3t k] dt 1/2 | (6 cos ti- 3 sin tj+ sin? 3t k]…

A:

Q: Which substitution is best to use in order to solve the integral / 2sinx cos xdx? Select one: u=cos…

A:

Q: The definite integral | 2/4-rdr is equal to /2 sin? 8 cos?0 de /2 4 sin? e cos? e de A. В. /2 C. |…

A: Since you have asked multiple question, we will solve the first question for you. If you want any…

Q: Evaluate the following trigonometric integrals: 1+cos 2 0 L, V4 – x2 dx Hint: Put x = 2 sin 0 and…

A: We evaluate  this integral of trigonometric ratios by using substitution method and basic…

Q: Using an appropriate substitution, the integral [x² x² csc²(x³) cot(x³) is equal to - dx - In…

A: Given ∫x2 csc2(x3)cot(x3)dx Formula: ddx(cot x)=-csc2xddx(xn)=nxn-1 Consider ∫x2 csc2(x3)cot(x3)dx…

Q: The definite integral /. '(tan2(x) + sec2(x) ]dx when evaluated is equal to AV3 + Br, where A and B…

A:

Q: Given the integral J sec° (x – 1) tan" (x – 1)dx, which of the following equations will be useful…

A:

Q: Evaluate the integral. | (1+5e tane) sec?e de sec 0 de 4 | (1+5e (1+5 e tan e sec 0 de = (Type an…

A:

Q: Use the given substitution to evaluate the integral

A:

Q: Find the integral: 1 = (cosax cosnx) dx (A) I = a2-n? (C) I = (an) +n2 JAN a sinan cosna 4a sinan…

A: we have to evaluate the integral I=∫0π(cosαxcosnx)dx using formula: cos(a)cos(b)=12cosb+a+cos(b-a…

Q: If the substitution u = tan reduces the integral a sin r dx I b+c cos I 16u du to the integral (2+…

A:

Q: Which of the choices below is an appropriate trigonometric substitution for evaluating the…

A: To find the appropriate trigonometric substitution for evaluating the indefinite integral…

Q: The coefficient of sin(2x) t F(x) =(cos() is Blank 1 (use fraction form not decimal no space) in the…

A: To determine the coefficient of sin2x in the antiderivative of Fx=cosx26.

Q: Evaluate the integral 29 (2° – 2) dx -y making the substitution u = x° – 2. + C NOTE: Your answer…

A: Given query is to find the integral.

Q: Evaluate the integral (@) = / cos (0) + sin(20) – 3 cos(0) sin (0) + 3 cos2(0) + 2 sin(0) COS de 3…

A: Evaluate the integral

Q: 8. Evaluate (a) /sin z cos" z dr (b) / (ln z)* dz. You may use /In z dz = z ln z - z+c.

A: Let's find.

Q: Steve uses the trignnometric substitution tan ()to evaluate / e) de After simplification, the…

A:

Q: dr for r sin 0tan 0 de Find Choose the correct answer. dr 2 O A. sin 0(sec 0+ 1) dr 0.sin2 0+1 B.…

A: Recall the following fact.

Q: In the next integral S substitution is considered 2x = 5sin 0, after performing the trigonometric…

A:

Q: Using a suitable substitution, the integral dx is given by: CoS z 7/6 sin? z+7 sin z+12 Select one:…

A: Using partial fraction we can find given integral.

Q: Which of the following is correct? 1. cosh?x+sinh?x = 1 . II. sinh x cosh y = sinh (x + y) + sinh (x…

A:

Q: Evaluate the integral: sin 0 So S 0 dr do. So Soin e dr de = 1 So Lsin 0 dr d0 = -5 So Ssin 0 dr de…

A:

Q: Evaluate the integral. 1/2 |[ cos ti- 3 sin 5t j+ sin? 6t k] dt 1/2 |[cos ti-3 sin 5t j + sin? 6t k]…

A: we use Trigonometry identities to solve this integration

Q: 1 | (n²z6 – 28)Zdz

A:

Q: 1/2 cos t Evaluate the integral o dt. 4.- sin? t In a Give your answer in the form where a and b are…

A: Given: ∫0π2cost4-sin2tdt Let sint=xcost=dx Then sin0=0sinπ2=1 So, ∫0π2cost4-sin2tdt=∫01dx4-x2

Q: Evaluate the integral: (30Vx2-9 dæ (A) Which trig substitution is correct for this integral? Or = 3…

A:

Q: 2. The substitution u=cosx is suitable to solve the following integral: sin'x -dx cos 5x O False…

A: We have to check

Q: 2,50 Puanlar) 3x + 2 dz. Evaluate the integral a) – 2 arcsin VBa + 3/5 – x² +C b)2 arcsin V5z + 3/5…

A: Use linearity for integration.

Q: What is the area inside the cardioid r= 2(1+ cos(4)), outside the circle r = cos(4)? 23л 11T 217 a)…

A: According to the given information, it is required to find the area inside the cardioid.

Q: The substitution 2=tan 2 transformed the integral dx Stadz, expression 5sin(x) – 12cos(x) + 13 into…

A: Consider the given integral ∫dx5sinx-12cosx+13 Take the substitution z=tanx2 to transform the given…

Q: 27 sin(x)cos²(x)dx - To evaluate the integral , which of the following formulas can be used? V7+2…

A:

Q: The trigonometric substitution a =1+ sin 0 is appropriate to evaluate the integral S V2x - x2dx.…

A:

Q: Evaluate the integral 2 S 35 sin 4x cos 3xdx 3x/2 2 35 sin xcos 3x dx 3/2 (Simplify your answer,…

A: Evaluate the given definite integral as follows.

Q: By using appropriate substitution and then trigonometric substitution to evaluate the integral. 2 1.…

A: Use the substitution method, to simplify the integrand in the integral ∫etet+9dt.…

Q: g(b). Use the Substitution Formula, -g'(x) dx = f(u) du where g(x) = u, to evaluate the following…

A: