1 -dx is an improper integral 1+ x2 Select one: 8 True False

Q: 21. Given the integral [ cot³x csc ³x dx. If u = cscx, then the integral can be re - written as:

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Q: Transform the integral fo o sin o sin 0 do de by the substitution x = sin o cos 0, y = sin ø sin 0…

A: Solution: The given integral is I=∫0π2∫0π2sinϕsinθdϕdθ The substitution is x=sinϕcosθ, and…

Q: Given: 5x2 tan ( 3x) dx. If u=3x³, then the resulting integral is Jf(u) du. Find. 4

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Q: Evaluate the integral. 17 dx 2 Vx² – 1 - NOTE: Enter the exact, fully simplified answer.

A: Let's find.

Q: Evaluate the improper integral 2). L, xe-** dx

A: To solve the improper integral

Q: Use the specified substitution to find or evaluate the integral.

A: To evaluate the given integral using the specified substitution.

Q: The integral TT tan x sec?x dx 2 O none of them is an impróper integral of type I that diverges is…

A: Improper integral

Q: Using an appropriate substitution, 8tan-1x the integral J dx equals: 1+x2

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Q: Evaluate the iterated integral. 1. 7zeX dy dx dz - 0/

A: According to limit, first we integrate with respect to y then put x7 = t then solve it.

Q: the double integral dy dz Evaluate

A: The given integral is: We can solve this integral by changing the order of integration. Consider…

Q: Evaluate the improper integral. 6 dx V36 - x? O A. 12 O B. 1 12 О с. O C. O D. 1 KIN

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Q: a) Evaluate the integrals using appropriate substitutions. dx Sino i)S i) f de Cos? 8+1 1+16x2

A: as per our guidelines I am solving only first question with both parts a(i) ∫dx1+16x2ii ∫sinθcos2θdθ

Q: Evaluate the integral dx (6х + 5)? y making the appropriate substitution: u = dx (6x + 5)2 II

A: Given query is to find the integral.

Q: Evaluate the integral. 9 dx V64 - Sx2 sin +C tan sin +C tan +C a eo

A: To evaluate the integral

Q: One of the following is an improper integral. - In 3 e* dx JIn 2 V4 – ex dx xV16 – In x - dx · In 2…

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Q: х? +2 dx x +1

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Q: -dx is an improper integral. A) True B) False

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Q: evaluate the iterated integral.

A: ∫12∫042xydydx

Q: Which is NOT included in evaluating the integral? 2 + Vx) dx а. dx

A: The answer of the following questions is given below...

Q: Evaluate the integral using the given substitution. 15) 1- sin cos dt, u = 1 - sin 13 1 - sin + C A)…

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Q: Evaluate the integral. Express answer as both exact and using 2-decimal places. • T X 4 S 2cos X…

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Q: Evaluate the integral 11-x²4-x²-y !!! 0 3 x dz dy.dx.

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Q: evaluate the triple iterated integral.

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Q: T/2 10 r = 8 cos 20 5 - 10 -5 5 10 -5 - 10

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Q: Consider two integrals: (b) S, x³dx Where a, B> 0 are both positive real numbers. Given that a < B,…

A: In the question we have to determine which integral is larger.

Q: Evaluate the integral. S (sec z ecr tan r + sec² x) dx

A: For detailed solution see the next step.

Q: 1 dx = 00 %3D V(x+8)³

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Q: Sketch and evaluate the reverse integral 3. dy dz

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Q: Evaluate the integral. V16-a? 1 dy dx dz = -V16-x2 (x2 + y?)1/2 -4.

A: We can solve as follows

Q: Let a > 3 be a fixed number. Evaluate the following improper integral -3)² dx

A: Given improper integral ∫a∞1x-32dx

Q: Evaluate the integral. 19 dx x²Væ² – I NOTE: Enter the exact., fully simplified answer.

A: To evaluate:∫2219x2x2-1dx

Q: x? Use the residues to evaluate the improper integral: -dx . (x² + 1)(x² + 4)

A: According to the given information, it is required to evaluate the improper integral using residue…

Q: Use a double integral to find the area of the shaded region. 51n T/2 10 r = 5 + 5 cos 0 -5 5 10

A: We need to find area of the shaded region.

Q: S. The integral dx is improper integral. True O False

A: Given: ∫01xxdx

Q: Calculate the integral, assuming that 6 f(x) dx = 2 and 6 g(x) dx = 15. (Give your answer as a whole…

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Q: A/2 15 10 r=7+7 cos 0 -5 5 5 10 15 - 10 15

A: The graph of the curve is given by To evaluate: The area of the shaded region.

Q: 4 -dx xln?x 00

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Q: Consider the triple integral I = L,S dzdydx. The value of I is:

A: To evaluate a definite integral we use the fundamental theorem of calculus. Fundamental theorem of…

Q: Evaluate the integral.

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Q: -dx is an improper integral. A True B) False

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Q: The improper integral J 1 r2-4x-5 dx is given by:

A: In this question, we reduced the integral into trigonometric form by using suitable transformation.

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: Evaluate the integral   ∫∫R sin(x2 + y2)dA,   where R={(x, y)|-1√(1-y2 )≤ x ≤ 0, -1 ≤ y ≤ 1}

A: Evaluate the integral∫∫Rsinx2+y2dAwhere R=x,y/-1-y2≤x≤0 and -1≤y≤1

Q: Evaluate the integral (use the substitution) : 2x + 6 x2 + 6x + 13 dx а. In (x + 6x + 13) + C b. 1…

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Q: Find the value of P which the integral convesg'es,absolubely Conditionally Sin Vz) dx .P

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Q: The improper integral dx is (x+2)S

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Q: 7/2 VI- cos z dy dx dz

A: The detailed solution is as follows:

Q: Given the integral dx Зх-7 Use the technique that we went over in class to find "u", "u'", and "dx"

A: Given : ∫43x-7dx

Q: x³e* dx

A: