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

Q: e2x sin 2x dx

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

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Q: Evaluate the following integrals. 1. S sin*(2x) dx

A: As per bartleby guidelines we only give first question answers.

Q: Q2 – Evaluate the following integrals. i. S(sin(4x) + cosh(3x))dx

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

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Q: evaluate the given integral. L (ex + e-x)/2 dx

A: To evaluate, ∫ex+e-x2 dx

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 dx V9 - x?

A: Given that, ∫x29 - x2 dx           ...(1) We can do this with trigonometric substitution. Consider,…

Q: V. S, sin* () cos5 (-) dx

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Q: Q2 Find the integral for the following : 2- fe-*sec? (ne-*)dx dx 3- JItex dx 1-S; 2x+2x

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Q: Evaluate the following integrals using dx = -00 (a) 7xe- dx (b) 13 xe-X dx

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Q: Evaluate the following integrals. Show the solution. 1. fcsc² (7x + 5) dx 2. x² sec (4x³ +9) dx dx…

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Q: Evaluate the following integrals: (a) dx x²/x² – 16 - (b) sin x cos xdx (c) x – 3 x² + 6x + 5 -

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Q: Evaluate the following integrals.

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Q: Evaluate these definite integrals: L, ¢x³ – 3x + 2) dx a. 2e b. S"( cosx – ) dx (Vz – z) dz с.

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Q: Evaluate the following integrals S²z sin³ x cos20 x dx 2

A: We have to evaluate the integral ∫-π2π2sin3x cos20x dx.

Q: - dx 5x² +3 c)

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Q: Find the following indefinite integrals. dx Vx + 2 +C !!

A: To evaluate the integral: I=∫xx+2dx...(1)

Q: Find the indefinite integrals: x5/2 + 4x + 1 dx a) / ? b) / (a" 6t7 2 + Te' ) dt t3

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Q: Find the integral for the following : dx 2- fe-*sec? (ne-*)dx 3- Sdx ZVI+2x 1+e*

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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: Which of the following is an improper integral? dx 2 2r+8 B -4 x2-x-2 -1 xe Cos (x)dx -2

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Q: Which of the following integrals are improper? (Select all that apply.) 1 dx 6x dx 2x - 1 sin(x) dx…

A: We have to find out the improper integral from the given options

Q: Find the following indefinite integrals. X dx= Vx6 +C

A: Given,

Q: Q4 Evaluate the following integrals cosh? (=) dx -In2 1 - fe 2 - cosh(lnx) dx

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

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Q: Find the following integrals a)  ∫ x3/1+x4 dx d)  ∫ ex/ 1+e2x dx c)  ∫30 | x2 -4| dx  d) ∫1 -1…

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Q: EVALUATE THE INTEGRAL

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Q: Evaluate the following integrals. b. "f2 sec² xdx (2x+5)dx

A: Topic:- application of integration

Q: Find the following indefinite integrals. dx = (m) / (~- (bị + 3e" + dt =

A: (a) I1 =∫x3-1xdx (b) I2=∫eπ+3e2t+1etdt We know that  ∫xndx=xn+1n+1+c and ∫enxdx=enxn+c

Q: Evaluate the following integrals. 1) La7 dx Ans. 4 1 v1-2x-x2

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Q: Use the table of integrals at the back of the text to evaluate the integrals ∫x cos-1 x dx

A: Given: I=∫xcos−1xdx

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: 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: | -2" dxr. (x² + 1)e

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Q: Which of the following is an improper integral? dx 2x + 8 2. 0- -4 x² – x – 2 In3e COSX dx хе -2…

A: We find which of the given integral is an improper integral.

Q: Evaluate the following integrals using the tabular method. (i) 2x sin 2x dx

A: We need to evaluate the integral ∫e2xsin(2x)dx by tabular method

Q: Q2: Evaluate the following integrals? 1) [ cos¹x dx 2x dx 2) S (x-2)² (x+2) 3) S: dx

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Q: S, 3x²e* dx .2

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Q: Evaluate the following integrals: xex dx 2. xe/2 dx 1.

A: Given: I1=∫xe5xdx, I2=∫xex2dx For evaluating given integral, we use integral by parts theorem…

Q: Which of the following is an improper integral? dx ** 2х + 3 ... dx x² – 2x + 1 In(x² + 1) dx -2

A: Which of the following is an improper integral?

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 integrals.

A: Given:∫dxe2x+1

Q: solve the following integrals:- dx |1-x² (1) J (2) Sx sinždx (3fdr (++x^)x^

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

A: (1) Consider

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: Determine the following indefinite integral. dx |( + x7) dx= O

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Q: Evaluate the following integrals.

A: ∫x1-9x2 dx Put, 1-9x2=t⇒0-92x=dtdx⇒-18x=dtdx⇒-18x dx=dt⇒x dx=-dt18