The value of the integral / (16 tan²z – 16 se²z)dz = . -6 O 96

Q: Evaluate the given definite integral: tan(x) dx A) In(3) 1 c) [In(2)]/2 In(2/3)

A:

Q: Evaluate the following integral. ∫ (6 + 3z)cos(1 + 4z)dz

A: Integration:        ∫(6+3z)cos(1+4z)dz=∫6cos(1+4z)dz+3∫zcos(1+4z)dzBy parts formula:∫uv…

Q: Evaluate the definite integral: (1+ In )? dz. e O 3 7/3 4/8 3一2

A:

Q: the area outside r = 1 and inside r = 2 cos 0 is 91.433 O 90.433 Other O 90.343 O

A:

Q: In the given question as follows, use Wallis’s Formulas to evaluate the integral:- See the question…

A:

Q: Use Wallis's Formulas to evaluate the integral. R/2 cos'(x) dx

A:

Q: Evaluate the given definite integral: tan(x) dx = 1 B [In(2)]/2 In(2/3) In(3)

A: The objective of the question is evaluate the definite integral and choose the correct option.

Q: Evaluate the integral. n/2 5 cos?0 de

A:

Q: Evaluate the integral , sin 60 do 3+ cos 60 using the substitution u = 3+ cos 60. sin 60 +C 3+ cos…

A: Given:         ∫sin6θ3+cos6θdθ   substitute using u=3+cos6θ    dudθ=-6sin6θ→dθ=-16sin6θdu…

Q: Use the calculus of residues to evaluate the following integral 27 1 de. 1+8 cos? 0

A: Given integral is ∫02π11+8cos2θdθ

Q: r cos (2x) COS

A: Given : The integral is ∫ cos4(2x)sin4(2x) dx .

Q: Solve the integral Sa 16 tani? 7+x²

A:

Q: Evaluate the given indefinite integral. Indicate u, n, and du. [5an20 elan 20 sec? 2 Bdß

A:

Q: Choose the most appropriate answer: Evaluate the integral : S dx 7x6 x7+1 O In(x7+1) + C O In(x"+ 1)…

A: Let's find.

Q: Choose the most appropriate answer The definite integral: (4x + 14)dx 14)de = %3D O48 O32 60 O 51

A: Now we will find the solution  we know  ,    Integration of Xn dx = Xn+1 / (X+1)  + C   Where C is…

Q: 2- Solve the following integral with details 1 erlao cos? e r² dr sin@de ø do = x X = ? o 32ña

A: Given integral is  ∫02π∫0π∫0∞132πa05r3e-ra0cos2θ r2 dr sinθ dθ ϕ dϕ=x

Q: Evaluate the given definite integral: tan(x) dx A In(3) [In(2)]/2 In(2/3) 1

A:

Q: evaluate the integral from pi/4 to pi/2 of cot^5(x)csc^3(x)

A: Given,           The integral from π4 to π2 of cot5(x)csc3(x).

Q: Which of the following integrals represents the area of the intersection of r= 5+5 cos(8) and r = -5…

A:

Q: Ji(3x-s) dr? Which of the following integrals is equal to the integral 7/3 O 1 5 2 dz -2 713 dz 3

A:

Q: To evaluate the integral dz, V 2-3 using trigonometric substitution, which substitution should you…

A: As the question only demanded the trigonometric substitution so I have only solved just to reach the…

Q: sin" zweos 2wdw

A:

Q: Evaluate the integral. 1/2 7 cos?(e) de

A:

Q: Evaluate the definite integral. 1/6 Csc( 3πt) cot(3πt) dt /1/18

A:

Q: Evaluate the integral. 7/2 sin 8t sin 7t dt 16 O 31 O T5 3

A: the given integral is ∫0π2sin8t sin7t dt use the formula Sin C sin D= -cosC+D+cosC-D2 here C=8t and…

Q: Use the given substitution to evaluate the integral

A:

Q: Evaluate the definite integral. '5 1 dx 13.37 %3D 6V

A:

Q: Evaluate the definite integral. 2 1 3u du (u + 4)? 2. 3u 1. du = (u + 4)? (Type an exact answer in…

A:

Q: Evaluate the integral. 40 sin 80 de cos Scos cos 40 sin 80 de =

A: ∫cos74θsin8θ dθ∫cos74θ2sin4θcos4θ dθ-2-2∫cos84θ2sin4θ dθ-12∫cos84θ-2sin4θ dθ

Q: The value of the definite integral csc adx is 0 1 -1 1/2

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: From the integral equations correspo ño following given "ifferential equatims orih chete'al con de…

A:

Q: Use Wallis’s Formulas to evaluate the integral.

A: Wallis's formula for integration for even n: ∫0π/2cosnx dx=12·34… n-1nπ2

Q: TT/2 Sar 3cos (x)sin² (x)dx .8

A: The value of the given integral is -21π/64

Q: Use the calculus of residues to evaluate the following integral: cos20 -de. 2 + cose

A:

Q: 14) Set the integral and find the area of one petal of r = cos 20 for - <o<.

A:

Q: Work out the value of the definite integral (5x +2)°dx 1 [B – CP], where A, B, C,p are positive…

A:

Q: Use the calculus of residues to evaluate the following integral: cos20 de. 02+cose

A: Given the given integral is ∫0πcos2θ2+cosθdθ

Q: evaluate the integral. 7 te? 1. 5X 2

A: As per guideline we can solve maximum one question ,you can repost other question

Q: The triple integral ¹³(12xze²y²) dxdydz is equal to 3(e − 1) - True False O

A:

Q: What is the value of the integral Select one: O 64 O 16 O None of these O 32 4 SS 0 X 08 2xydydx?

A:

Q: Evaluate the definite integral. S tanh x dx none of the choices O In(3) O In()

A: The functions of the form , and are trigonometric hyperbolic functions. The derivative of the…

Q: Evaluate the integral. *m/2 cos?(8) de

A: Let the given integral is, By using the constant-multiple rule By using the identity,

Q: (6+ 3z) cos(1 + 4z) dz

A: We will use integration by parts

Q: Evaluate the following integral. 16 tan x sec *x dx 16/tan x sec *x dx = (Type an exact answer.)

A:

Q: Evaluate the following indefinite integral. 2 dz 28 +C

A: ∫zn dx = zn+1n+1+C

Q: To solve the integral | sin 60 Vcos 60 de, rewrite the integral as 3 sin 60 V cos 60 sin 60 de. Use…

A: The given integral is ∫sin36θ cos6θ dθ. To solve the integral ∫sin36θ cos6θ dθ, rewrite the above…

Q: Evaluate the given integral: cIn 3 e dx. 1+ezz

A:

Q: Evaluate the definite integral. 1/6 csc(3nt) cot(3nt) dt /1/18

A: