(a). Evaluate the following integral 1 dx x(x-1)? 2 -In(

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A: Concept : ∫xmdx = xm+1m+1 given ∫x·x21dx = ?

Q: ind the general indefinite integral. (Use C for the constant of integration.) 6 csc2(t) – 3et) dt

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Q: B- Evaluate the integral 1-x (3-x-y dz dy dx /1-x²

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Q: Explain why each of the following integrals is improper  integral 1 to 2 x / x-1 dx

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Q: I. Evaluate the following integrals. cln 2 #3. sec-(e")dx

A: integration using integration by parts method if it is helpful appreciate me.

Q: Explain why each of the following integrals is improper  integral 0 to infinity  1 / 1+ x 3 dx

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Q: 3. Evaluate the following integrals: sec x dx b) S- VIn(secx+tan x)

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Q: Which of the following integrals are improper? Why?

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Q: Express the integral a.e •e²² dx in terms of the integral dx .

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Q: Evaluate the iterated integral: x + 4y dx dy Answer :

A: We can solve as follows

Q: valuate the following Integrals 1 -3 +1 dx 4secx tan x- 2 sec? x)dx .3 dx x² +1

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Q: Use numerical integration to evaluate the following: dx (b) e-" sin y dy 2 x(x + 2)

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Q: Evaluate the iterated integral: /x + 4y dx dy Answer :

A: Given query is to find the value of the integral.

Q: Set up an integral to find the length of the curve defined by y = 4x2 – 3 from x = 3 to x = 9, then…

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Q: Find the integral of f(x) = e- sinh(x) between 0 and 1.

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Q: Evaluate the integral with the order reversed. dx dy -2 0

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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 integrals are improper? Why?  integral -1 to 1    ( 1/ x 2 -x -2 ) dx

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Q: 1. Evaluate the following integrals using integration by parts. x5e* dx

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Q: s) Calculate the indefinite integral using Trigonometric Substitution. X [ dx +x²

A: This is a problem related to integral. Based on the trigonometric substitution we will answer the…

Q: ) 1 1 dx x – 1

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Q: Using an appropriate substitution, the integral f e cos(e* + 1) dx is equal to:

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Q: Q3 Evaluate the following integrals X. cosh? () dx -In2 1 - | 2 - cosh(lnx) dx

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Q: Evaluate the indefinite integral: dx = +C. %3D

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Q: Define the following improper integrals integral -1 to 0  f(x) dx

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Q: 1. dx (т + 1) (2 + 1) 1

A: Explanation of the answer is as follows

Q: Q2: Evaluate the integral by integrating the equivalent reversed order: 13 e* dydx 1 e

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Q: Which of the following integrals are improper? Why?  integral 0 to infinity    e -x 3 dx

A: integral 0 to infinity e -x 3 dx is an improper integral. Since the upper limit of the integral…

Q: Evaluate the integral. (Use C for the constant of integration.) COS s-1(x) dx

A: Let arccos(x)=t x=cos(t) dx=-sin(t)dt So the integral becomes - int t sin(t)dt =-t int sin(t)dt+int…

Q: Evaluate the integral. NOTE: Enter the exact answer. dy dx = (xy + 1)?

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Q: valuate the following integral using integration by parts x sin (1/7)x dx

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Q: B: Evaluate the following integral by changing the order of integration: LS dy dx

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Q: r+∞ e dx - dx x ln x

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Q: Find the indefinite integral. a. fsecy (tany - sec y )dy b. f(x²-9)(2x)dx

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Q: Evaluate the following integrals using Integration of Hyperbolic Functions. 14. S sech? ( Inx) dx…

A: Integration is the inverse of differentiation and we are going to use that concept here. Therefore…

Q: La) J 21) dx. (2rº+1)

A: As per bartleby guidelines for more than one question asked only one is to be answered please upload…

Q: Explain why each of the following integrals is improper  integral -infinity to infinity  x2 e -x2 dx

A: Given Data The integral is ꭍ∞-∞ x²e x2 dx   When one of limit or both limit points of integration…

Q: Ssin (x) cos (x) dx

A: We need to integrate∫sin3xcos3xdxusing propertycos2x=1-sin2x

Q: Find the integral for the following functions: - dx 1) . Vx²-2x+1 2) ſ e3se c(x), sec(x). tan(x) dx…

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

Q: Define the following improper integrals integral -1 to  1 f(x) dx

A: Given integral is,

Q: Evaluate the following integral. x2 dx V1- 144x x2 dx = V1-144x? (Type an exact answer. Use…

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Q: Evaluate the indefinite integrals, use the substitution when appropriate. a) S(e5- VE +) dt b) S cos…

A: a. Evaluate the given integral as shown below: ∫ t5-t+1tdt=∫ t5dt-∫tdt+∫1tdt…

Q: The integral o So e a dxdy is equal to

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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…

Q: Evaluate the improper integral or show that it diverges: 00 (a) xe dx 7/2 (b) tan x dx

A: a) ∫0∞xe-xdxb) ∫0π2tanx dx

Q: Evaluate the integral cos (Ty) dy dr. dx.

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Q: Which of the following integrals are improper? O " tan xdx dx -dx L2+1 .2 dx -2 x+1 Se*dx None of…

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