7. Evaluate the following integrals: a. S cosh x sinh x dx b. dx S- 2 + 2x + 3 C.

Q: Q1 - Evaluate the following integrals 2x+5 i. S- dx x²+3x-10

A: We will break it into two parts.

Q: Q2 - Evaluate the following integrals i. S cosx sin*x dx sinh³x -dx cosh®x

A: As per our guidelines we are only supposed to solve first question in case of multiple questions We…

Q: 11. Evaluate the following integrals. sinx dx 1- cosx dt fxsec' x dr b) a) c) t2 +81

A:

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

A: Given integral is not an improper integral.

Q: Evaluate the fo llowing integrals S Sin () dx

A:

Q: Evaluate the following integrals (1) S sin3x sin2x dx (2) S sin3x cos2x dx (3) [ Cosvã cos(sin/ĩ) dx…

A: Answer

Q: e2x sin(e)dx cos (ezx)+3

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

Q: Evaluate the following integrals: 2. Inx de sin 3x 3. dx 1-cos 3x 4. S 32* dx 5. S(e* + 1)°e*dx 6.…

A: Since the student has posted many sub-parts of the question and does not mention any specific part,…

Q: 2. Identify which of the following integrals are improper: 1 1 dx 1 fin(x)dx 1 X +3 1 fe* dr -dp- 3

A:

Q: Evaluate the following indefinite integrals S xe3x² dx and S (x + 4)lnx dx.

A:

Q: a) Evaluate the following integrals by Parts 6) (lnx)² dx In x [√x 8) | Ir 8) In(x² + 4)dx 9) […

A: As per Bartleby's answering policy, we can answer only one question with a maximum of three…

Q: 2.) Evaluate the def inite integral dx o x²+4

A:

Q: Evaluate the following integrals.

A:

Q: Sx² tan x3 dx (In x)3 dx 4x 2x3 dx x++1

A:

Q: Which of the following integrals is NOT appropriate for a substitution method? A 5x*sin(x³)dx ®…

A:

Q: Use ff(x) dx = F(b) – F(a) to evaluate these integrals: 4 x²e** dx 2. sin x dx 2 In x dx (

A:

Q: Evaluate the following integrals S, 5v – 3) (e-y*2 sinhy) dy а. b. 8(x + 1) In(sinx2*) cosx dx

A: We have to define the given Delta function and find the points in which it is non zero in the given…

Q: Evaluate the integrals ∫sech √t tanh √t dt/√t

A: Given, ∫sechttanhttdt We know that,  a.bc=a.bc =∫tanhtsechttdt Substitute the value of   u=t ⇒du=12t…

Q: Q2 - Evaluate the following integrals i. S cos5x sin*x dx sinhx dx coshºx

A: See the details solution in below

Q: Evaluate the following integrals: dx dx dx ii) S 2 sinx+8 cos x a sinx+b cosx 1+tan x

A: (i)

Q: Evaluate the following integrals: |xy dy dx (1) -1 x 27 3 !! dx dy (11)

A:

Q: Evaluate the following integrals: dx dx iii)S 1+tan x dx ii) Ja sinx+b cos x 2 sinx+8 cos x dx v)S 2…

A: Given: IV)∫sinh2xdx

Q: Evaluate only two of the following integrals: -16 In y a) S 8x² sin(4x) dx dy 4/y b) Jg 4Vý

A:

Q: Find the integrals below. a) |e2x dx b) S 3 dx

A: We have to find integrals of a)∫e2xdx b)∫3xdx

Q: Q1) Find the following integrals } 1) S sinh2x sinhx+1 dx 1

A: To solve the given integral

Q: Either evaluate the following improper integrals or show that it diverges. +oo 1 (i) - dx +oo (ii) 2…

A: We have to evaluate the given integrals.

Q: Evaluate the following integrals: a) sin^4 (2x) cos^7 (2x) dx b) t sin^4 (t^2) dt c) tan^3 (x) dx d)…

A: Since we only answer up to 3 sub-parts, we’ll answer the first 3. Please resubmit the question and…

Q: Find the following indefinite integrals 1. Sx(x² – 2)5 dx

A:

Q: I. Evaluate the following integrals. 3.x5 dx V2 – x3 1. - 2* + e2" sin(2") dx sin(2") 2. 2x + 3 dx…

A:

Q: Evaluate the following integral cln 2 cosh x O UTM dx. V sinh? x + 4 sinh x + 2

A:

Q: 6 sec*x dx

A:

Q: x Inx dx .2 4. dx 4-x2 3.

A:

Q: 4-Évaluate the following integrals a) In dx b) ] ()"- dx 5/2 tan x

A: Integration:   The collection of all antiderivatives of f is called indefinite integral of f with…

Q: 02: Evaluate the following integrals: secxdx 1. S- VIn(secx+tanx) 3. VInn 2xex² cos(e**) dx

A: Use the substitution method to solve these problems.

Q: S xe2x*sin(e**)dx

A:

Q: ex dx V1 - e2x

A:

Q: For which of the following integrals should substitution be used, instead of Integration by Parts?…

A: Solution :option D substituition be…

Q: 3 dx 2 (2 +

A: We’ll answer the first question since the exact one wasn’t specified. Please submit a new question…

Q: Evaluate the following integral cln 2 cosh x dx. sinh² 0. x + 4 sinh x + 2

A:

Q: 1. Evaluate these integrals either by substitution or by integration by parts: cln 2 et a sin(2r) dr…

A: “Since you have posted a question with multiple sub-parts, we will solve first three subparts for…

Q: Evaluate the integrals: (d) ∫(lnx)2dx. (e) ∫tan−1(3x)dx. (f)∫cos4(3x)dx.

A: We can evaluate the first two integrals by using  the integration by parts method. To evaluate…

Q: 1 1 x=6 x - 2 dx +oo

A:

Q: 1 dx x2 (1) x=1 x=1 (2) et dx x=-0 x=-∞

A: (1) Consider

Q: Evaluate the following integrals: а- T/2 2cosx dx 1+ (sinx)² -T/2

A:

Q: vi. Sz sin³ x cos20 x dx 2

A:

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

A:

Q: Evaluate the following integral. 16 dx 1- vx 16 dx | (Type an exact answer.) 1-

A:

Q: 1 1 1 dx x+2, x+1

A: We can solve this as follows:

Q: Which of the following integrals are improper? (Select 3 L₁x²-1 dx 3x - 1 1 06²/21 x ² = 1 dx 2x 00…

A: Topic:-  improper integration

Q: 1. Evaluate the following integrals using integration by parts. In x | sin-y dy

A: "Since you have posted a question with multiple sub-parts, we will solve   the first three sub-parts…