Which of the following is not an improper integral? 1 dx cos x 2 cos x dx | cos x dx 0. 1 dx cos x 2 0,

Q: Which of the following integrals represents the length of the curve y = cos(x), 0 < x < 2n? A. V1 +…

A: We have to find integral that represents the length of given curve.

Q: A. Evaluate the following integrals. 1. S(Vcos x + sin x)´dx 2. S cos³ 3x dx 3. S tan5 2x dx

A: To evaluate the following integrals.1 ∫cos x+sin x2 dx2 ∫cos33x dx3 ∫tan52x dx

Q: Evaluate the integral: A B C D H|m 1 6 1 |ო 3 √ sin S 1 6 sin(3x)cos(3x) dx

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Q: Which among the following is an improper integral? -0.5 dx a. O5- -0.5 1-x2 csc?x b. Si dx V5-csc2x…

A:

Q: 2. Calculate the following integral: dx (a) sinh? x – 4 sinh x cosh x + 9 cosh² x +*) u (1– x²)² x…

A: 2) a)

Q: Which of the following is an improper integral? S'in(x*+1) dv A dx (B 2x + 8 x²-x-2 In3e COSX xe dr

A: definite integral that has either both limits infinite or an integrand that approaches infinity or…

Q: Evaluate the iterated integral. 1/4 y cos(x) dy dx

A:

Q: help ty

A: To find the improper integral. Improper integral is a definite integral with one or both limits of…

Q: Get the integral of ſe*sin x dx using integration by parts c. e*(sinx – cos x) + c D. -e*(sinx – cos…

A: The integration of the integral is exsinx.

Q: Find the integral [((-1)*(c+1)x+(a+1)) cos((b+1)x+(c+ 2))dx -

A:

Q: Evaluate the iterated integral below. π/4 1 Só S"!+S": 0 0 y cos (x) dy dx

A:

Q: Which of the following is an improper integral? A dx -4 x² – x – 2 In3e (B cosx dx хе -2 dx C 2x + 8…

A: To find out the integral which is improper.

Q: 2. Compute the following integrals. tan"(2) sec"(r) dr. (b) sin*(x) tan(x) dx.

A: (a) given that a integration of tan3(x) *sec6(x) Here we compute this integration. We know that tanx…

Q: Which of the following is not an improper integral? 1 dx cos x 1 dx cos x | cos x dx cos x dx

A: We know that integral are improper when either the lower limit of integration is infinite,the upper…

Q: A. Evaluate the following integrals. 1. S(Vcosx + sin x)*dx 2. S cos³ 3x dx 3. S tans 2x dx

A:

Q: Which of the following is an improper integral? In3e A xe COSX dr хе -2 S In(x++1) dx В dx 2x + 8 D…

A:

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

A:

Q: Which of the following is an improper integral? -dr -4 x² – x – 2 In(x++ 1) dr dx 2 2x + 8 In3e COSK…

A:

Q: Evaluate iterated integral.

A: Integration is the process of finding the anti-derivative function of a given function. The…

Q: Which of the following is not an improper integra cos x dx 0. 1 dx cos x 0. cos x dx 0. 1 dx OUESTI…

A: Improper Integral  integrand is discontinuous at a point  in given limit

Q: Which of these is a non-elementary integral?" ( In(2y² + 1) -dy 4y A. * cosh(2x) xp. B. +…

A: (a) For, Is non elementary since y is in denominator. (b) For Is non elementary since x is in…

Q: Which of the following is not an improper integral? 1 dx cos x 1 dx cos x 2 cos x dr cos x dx

A: Explanation of the answer is as follows

Q: Which of the following is an improper integral? A) In(1+x*)dx -dx -4 x² – x – 2 В dx C 2x + 8 C…

A: Given A.∫-10ln(1+x4)dxB.∫-40xx2-x-2dxC.∫2612x+8dxD.∫-2ln(3e)xecosxdx

Q: Which of the following is an improper integral? - dx x² – x – 2 In3e cOsx Ax xe 'dr -2 dx 2x + 8…

A:

Q: Evaluate the iterated integral. *7/3 '5 y cos(x) dy dx

A:

Q: (a) Evaluate the following integrals: π cos(x) dx dy 4y

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Q: Which of the following integrals is equal to the integral / f(3x – 5) dx? 713 f(2) dz 7/3 f(2) dz -2…

A:

Q: Determine the following particular integrals: -{3x²e-x} 2.1 2.2 1 D² + D-1 1 D² - D+2 {8 sin x cos…

A: To Determine: the following particular integrals:   2.1 1D2+D-13 x2 e-x 2.2  1D2-D+28 sinx cosx

Q: Which of the following improper integral is divergent? dx A xln(x) 10 dx (B x4 dx D dx

A:

Q: What is the integral of x" cos ax dx ? хN sin ax А. -=S nx"-1 sin ax dx + а а хN sin ax B. n -"Sxn-1…

A:

Q: Evaluate the iterated integral below. π/4 1 S. S'y co Só 0 0 y cos (x) dy dx

A: Solution…

Q: Which of the following is not an improper integral? dx a2+9 dx (x-2) dx O J3 3-2x-a² O 7 tan æda So

A:

Q: Which one of the following is a PROPER INTEGRAL? OA. .5 2x dx. 3 7x2-3x O B. dx. x In Oc. | x2…

A:

Q: Which of the following is an improper integral? -4 x² – x – 2 In3e COSX dx xe -2 In(x++ 1) dx -1 dx…

A:

Q: ...... ... ... ...- Evaluate the iterated integral. 5. y cos(x) dy dx

A:

Q: Which one of the following integrals is Lebesgue integrable: sin – + cos dx, dx

A: Given integrals, 1.∫011xsin1x+cos1xdx2.∫-111xdx

Q: Evaluate the integral: 1. Jcsc x (сos? х — 1)dx 2. S(sec2 x + csc² x) cos? x dx 3. S(wew² + w²ew³)…

A:

Q: Which among the following is an improper integral? 0.5 dx a. -0.5 1-x2 csc?x b. Ji V5-csc2, dx…

A: (a) The integral given in (a) has a finite value. Therefore this integral is proper. (b) The…

Q: Evaluate the iterated integral below. 1 S. * S'y cos 0 0 y cos (x) dy dx

A: Given, ∫0π4∫01y cos(x)dy dx

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: Which of the following is an improper integral? dx A 2x+8 cos (x)dx B -2 C -4x2-x-2 In(1+x*) dx -1

A: Improper integral is the integral in which function approaches to Infinity within in the given…

Q: Which one of the following double integrals is equivalent to the integral 2x-x2 Vx2 + y2 dy dx? 0.…

A: The integral in Cartesian coordinates is : We first try to look at the region of integration here:…

Q: Evaluate the iterated integral. /3 6. y cos(x) dy dx

A: I=∫0π3∫09y cos x dy dx =∫0π3cos(x) ∫09y dy dx  =∫0π3 cos(x) y2209 dx  =∫0π3 cos(x)812 dx

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: 3. Evaluate the following integrals: 0 3 dx a) -13x-2 sec x dx b) JIn(secx+tan x)

A:

Q: A. Evaluate the following integrals. 1. S(Vcos x + sin x)*dx xp. 2. S cos 3x dx

A: LetI=∫cosx+sinx2dxI=∫cosx+2sinxcosx+sin2xdxApply the Sum RuleI=∫cosxdx+∫…

Q: 6. Which of the following integrals are imprope 2 SIn(x-1)dx sin x b. S dx 2 1 dx 2- 3x с. С. 1 d.…

A: Definition of improper integral:- An improper integral is of two type (i) Improper integrals o a…

Q: Which of the following is an improper integral? A dx -4 x2 – x - 2 In(x++1) dx -1 © dx 2x+ 8 2 In3e…

A:

Q: Which of the following is not an improper integral? 1 dx cos x 0. cos x dx cos x dx 1 dx cos x

A: We have to check

Riemann Sum

Riemann Sums is a special type of approximation of the area under a curve by dividing it into multiple simple shapes like rectangles or trapezoids and is used in integrals when finite sums are involved. Figuring out the area of a curve is complex hence this method makes it simple. Usually, we take the help of different integration methods for this purpose. This is one of the major parts of integral calculus. 

Riemann Integral

Bernhard Riemann's integral was the first systematic description of the integral of a function on an interval in the branch of mathematics known as real analysis.