b) [ cos 20 do 5+4cos 0 BAŞARILAR

Q: (b) dx (1+ x²)² 0,

A:

Q: e) TT/2 cos x In(sin x) dx t/4

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Q: Evaluate the integrals below: cos3x a) dx, b) 2y Velina - 1) etsin3a)

A: We have to evaluate the following integrals, (a)∫cos3xesin3x2-1dx(b)∫012yy2dx

Q: Evaluate the following integrals: a) cos (5x) dx b) 3x sin(2.x) dx - Sa x-7 c) dx (x+4)(x- 3)

A: Integrate in the following way:-

Q: Approximate the following integrals using the Trapezoidal rule. 0.5 [h=24 dx x-4 a. [x² dx 10.5 b.

A:

Q: ) Evaluate the integrals of the following; i) ,( + cos x)dr 1+cos 2t dt ii) 2 iii) [(3x +2)(3x?…

A: Given that:                           NOTE: As per our answering guidelines, we can only answer 1…

Q: Solve the following integral using substitution method: X S. dx √x²-1

A:

Q: Evaluate the following integrals using techniques studied x(x+ 5)* dx 2. 4x cos (x² + 1)dx

A: Given: 1. ∫xx+54dx2. ∫4xcosx2+1dx

Q: Evaluate the integrals in ∫2ey cos ey dv

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Q: dx (b) J sin x· cos² x

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Q: 1. Approximately compute the value of the following integral, as accurately as possible, using the…

A: Note:- Here, you mention function f(x) is creating little bit confusion for me. Is…

Q: Determine the following integrals: I. In x dx II. | a? cos(2r) dx III. cos° x dx

A: As per our guidelines, I can answer maximum three subparts of a question. Since you have asked for…

Q: Evaluate the following integrals: S cos“ : x dx 1-

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

Q: Evaluate the following multiple integrals a) *e°dydx.

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Q: Determine the following integrals (a). cos xsin.xdx (b) [- dx 17-5x+6 (c) fxe*dx

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Q: Using trigonometric substitution x³dx 1. S Vx2- 9 xdx 2. 3 (V16-x²)

A: This question is based on Indefinite Integral

Q: e2¤ (e-ª + e*)dx

A:

Q: Calculate the following integral: e 3x3 + 1 dw 1

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Q: Use the substitution technique to determine the following integrals:

A: Important integrals for the question: ∫sec2 x dx = tan x + c ∫un du = un+1/(n+1) + c Other important…

Q: Q1: Evaluate the following integrals by using a substitution to reduce it to sec X dx 1 standard…

A: We have to use substitution method.

Q: Calculate the following integrals. I (b) /2 I sec rdx-

A: The given integration is  I = ∫xsec2xdx

Q: 4. Calculate the following iterated integrals by hand. Show all steps. (a) (b) (c) -dr dy

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Q: Evaluate the following improper integrals provided they conver dx a) S Vx-x2

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Q: ydy V16–9y* 4

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Q: Evaluate the following integrals.

A: Given that: The integral is ∫exe2x + 2 ex + 17 dx .

Q: Find formulas for the functions represented by the integrals.

A: Find formula for the function represented by the given integral: ∫1x2 t dt

Q: 3. Se2*(sin x + cos x)dx

A: Using Integration By parts rule.

Q: Evaluate the following integral using the Beta function: 1 T³ – 3x° + 3x7 – x°dx ,5 8

A: Beta functions are a special type of function, and it is also classified as the first kind of…

Q: 2. 21-/9 – 4ª dx

A: The by parts method is given as ∫uv=u∫v-∫u'(v) where u is the first function and v is the second…

Q: 4. Evaluate the following real-variable integrals using the method of residues: 2 cos (0) Jo…

A: PART A Consider ∫02πcos2θsinθ+2dθ Let us assume : dz=eiθi dθdz=iz dθdziz=dθ

Q: 6 sec*x dx

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Q: tan 2x dx 2. S (3+ln cos 2x)6

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Q: use an appropriate substitution and then a trigonometric substitution to evaluate the integrals.

A:

Q: fa- 3v' de 10. far -1 a

A: The power rule of integration is,  We use this rule to solve the given integrals.

Q: of the following is an improper integral? • In3e COsx dx xe | in(x*+1) dx n(x++1)dr -4 x2-x- 2

A: Improper integrals are characterised as

Q: | (x" +e – dx x2

A: The objective is to find the value of given integral

Q: find formulas for the functions represented by the integrals.

A:

Q: Evaluate the integrals below:. cos3x .dx, b) elsin3x) – 1). a) 0.

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Q: 1) Calculate the following integrals. b) √₁6x²=1 -dx

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Q: S, 3x²e* dx .2

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Q: Find the following integrals using the method of substitution. t2 dt /6+t3 x2 b) J ; dx 5x3+8

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

Q: Use the table of integrals at the back of the text to evaluate the integrals ∫e2t cos 3t dt

A: Given, ∫e2tcos(3t)dt

Q: Evaluate the following definite integrals. (a) | |2t – 4| dt. T/6 (b) cos(3x) dx. e (c) dx.

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Q: [5]. Calculate the exact values of the following definite integrals. Srsin(2.x) dr (a) o dx x² - 4…

A:

Q: [9 cos (12 – 6t +1) dt 4

A: Solved below

Q: Evaluate the following integrals. Tt/42 cos x dx e* 2 cos а. S dx V1-9x²

A: We have ∫0π42 Cosx dx Now, ∫0π42 Cosx dx becomes  ⇒2Sinxπ40                         as ∫Cosx…

Q: Evaluate the following integrals using power formula. 1) S 3t dt 2) dy

A:

Q: Find the complete integral of the following equation PDE By charpit's pq+2y(x+1)p+x(x+2)q-2(x+1)=0

A: Given : The equation of the PDE is : pq+2y(x+1)p+x(x+2)q-2(x+1)=0…