You found that the reduction formula of a certain integral is In = 180 (13x" sin (13x) + næ"-1 cos (13x) – n (n – 1) In-2] 169 1 and that I =R a sin (13x) + cos (13x) 169 What is I3? 3 - sin (13x) + 169 6 cos (13x) cos (13x) æ sin (13x) 2197 13 28561 1 -2³ sin (13x) + 169 3 -x² cos (13x) 169 x sin (13x) 2197 -cos (13x) 28561 - sin (13x) – 13 3 -x² cos (13x) + 169 x sin (13x) 2197 6 cos (13x) 28561 1 æ sin (13x) + 2197 -a³ sin (13æ) 13 3 -x² cos (13x) 169 cos (13x) - - 28561

Q: Evaluate the integral: integral fom 0 to pi/2 sin^2 x cos^2 xdx

A:

Q: In the integral of x cos 2x dx with limits form 0 to pi/2, what is the indefinite integral? Select…

A:

Q: To treat the integral -24(2x + 1)2 dx as a constant multiple of one of the form u"u' dx, we let n =…

A: the objective is to find the given integral

Q: We have determined that du = 5x* dx. However, the given indefinite integral dx does not conta %3D x…

A:

Q: Evaluate the integral. S 20x cos x dx Select one: O A.80 sin. 1 40x cos + C O B.20 sin n1)x+ 40x cos…

A:

Q: Evaluate the integral. In 2 2 e sinh 0 d0 - In 10

A:

Q: 7/2 2. Is cot x dx an improper integral? Explain.

A: Given integral is not an improper integral.

Q: 1 The improper integral Jo 2+4x+13 dx is given by: Select one: None of these O a. O b. lim…

A:

Q: Csin $ 3 y cos*3 ychy

A:

Q: Evaluate the integral: Se3+ cosh2x33+ cosh2xsinh2x dx A (3e)3+ sinh2x 21n3 - + C (3e)3 + cosh2x B…

A:

Q: Select from the items the one that corresponds to a correct step of the procedure to solve the…

A: Given integral is∫e-13xsin5xdxThe integral is evaluated as shown below.

Q: Solve the integral: A B с 1 √√x+x √√ Sin/1+x²|+c -In +C 6in|5+ x²|+C с {in/1+x³ |+c C dx

A:

Q: ₁√x³ √4-x² dx. if we let z = √√4-x², which of the following integrals is correct using rationalizing…

A: The given integral,        ∫x34-x2dx

Q: 1. Evaluate the integrals x³e- dx

A:

Q: s (e² + 4 cos 8z dz 1+sin 8z,

A: A detailed solution is given below

Q: Evaluate the following integrals: 1 1) [(x² – 1)-(4 – x² )dx Ix' - 4x+c) (ans. : 2) Je* . sin e* dx…

A:

Q: Evaluate the integrals.∫cos 3t / (1 + sin 3t)dt

A:

Q: sin 40 do 9 + cos 40 Evaluate the integral ; using the substitution u = 9+ cos 40. sin 40 do 9+ cos…

A: ∫sin4θ9+cos4θ dθ

Q: hello! can you help me with this calculus problem?

A:

Q: You found that the reduction formula of a certain integral is In = x"+2e2= - (n + 2) In-1 and that 1…

A: As per our guidelins we can solve only 1 question. The next question can be reposted.  Here we have…

Q: 13. Evaluate the indefinite integral fx cos x dx x sin 2x cos 2x a. + c 2 x sin 2x cos 4x b. + c 2 2…

A:

Q: 17. Use the theory of residue to evaluate the following definite integrals r2 (a) /" (b) / do 2+ cos…

A: 17(b) ∫02πcos2θ dθ5-4cosθ=real part of ∫02πei3θ dθ5-4cosθcosθ=real part of eiθsinθ=imaginary part of…

Q: 3 Which of the following is equal to / sec 2 x tan³x dx to obtain the correct indefinite integral? A…

A:

Q: 7. Which of these is a non-elementary integral? In(2y² + 1) А. -dy 4y e-x cosh(2x) В. c. [ e-x +…

A: Non-elementary integral for a given elementary function is an  indefinite integral that is, itself,…

Q: 2. Evaluate the integral of 5 sin4x cosx dx if upper limit TO and lower limit = 0. а. 4т/315 b.…

A:

Q: Find the integral of 12 sin^5 x cos^5 x dx if the lower limit is O and the upper limit is T/2.

A:

Q: To treat the integral -44(2x + 1)-2 dx as a constant multiple of one of the form u'u' dx, we let n =…

A:

Q: Q2:A/ Evaluate the integrals sec (1 + ex) tan (1 + e'/x) dx

A: Integral

Q: cos(T/x) x2 cos(T/x) d.x = lim 1 = lim (1- sin(/b)) b-0 T dx = lim sin(7/x) b-00

A:

Q: Why is the integral here not pi/48? Is there something wrong with my process before evaluation of…

A:

Q: 11. The integral of an(In|4x=12 dx is bln|sec(ln(2x)ª)|. What is b? A. 2 В. С. 4 D. I

A:

Q: Question 1 Evaluate the following integrals using residue theorem: Lx (2² + 9) (2² + (b) 2³ sin uz…

A:

Q: The integral of the given function sin²2x cos 7x dx is equal sin 7x sin 11x sin3x А. 14 + C 12 44…

A:

Q: sin 70 do 2+ cos 70 Evaluate the integral , using the substitution u = 2+ cos 70. sin 70 de 2 + cos…

A:

Q: Which of the following is one of the correct steps to evaluate cos3 dt to obtain the correct indef…

A:

Q: , 1. Take the following integral numerically using an end corrected method. (n-7, h=0.001) (give…

A:

Q: If the integral of x²dx V(9-x²) (0 – →sin 20) + C. What is 0? - -1 O 3Sin (x) O Cos" (3x) O Cos' ()…

A:

Q: Find the integral of sin^8 xdx from x = π/2 to x = 2π  a. 0.814 b. 1.289 c. 0.240 d. 0.365

A: We have to find  the integral of sin8 xdx from x = π/2 to x = 2π

Q: 2. Use symmetry to evaluate the given integrals. -200 A) S, 2x5 dx -200 В) cos х -п/4 B) S"/ cOS x…

A: A) ∫-2002002x5 dxB) ∫-π4π4 cos x dx

Q: Evaluate the integral. I sec (8x) dr tan(8z) In(cos)(3r) 64 +C X

A:

Q: 7. Find the indefinite integral. (a) / 3 cos(") dz /32c0 31 dr

A:

Q: You found that the reduction formula of a certain integral is In = a" sin 2x + nx"-1 cos 2x – n (n –…

A:

Q: The resulting integral of sin-cos-sino de 2 2 has the form -(0)+ C· What should be the value of o to…

A: I am going to solve the given problem by using some simple calculus to get the required result of…

Q: - Prove using integrals Proper tos : e even sin()fc) dx=0 -b 9- For even functions.

A:

Q: Evaluate the integral: e3+ cosh2x33+cosh2xsinh2x dx (3e)3+ cosh2x A + C 2ln3 (3e)3+ cosh2x +C B 2 +…

A:

Q: Select from the subsections, the one that corresponds to a step of the solution procedure of the…

A:

Q: tep 4 Rewrite the integral by substituting for cos 60. 1. sin? 60 5/2 -(n)- cos 66 sin 60 de = 9.…

A: The given integral is sin2(6 theta)√cos(6 theta) sin(6 theta).

Q: Obtain a "reduction" formula that expresses the integral cos" x dx in terms of an integral of a…

A: Integration by parts: If u is first function and v is second function then: ∫u(x) v(x) dx=u(x)∫v(x)…

Q: THIS BE SOLVED ANALYTICALLY? SO, HOW? (a=0.75 STILL) dy=ay (1-2y). 6y³ - dt 4y³+5 SET UP THE…

A: