d) |r – 2| dx

Q: Verify the value of the definite integral, where n is a positive integer.

A:

Q: S 6x2 sin x3 dx

A:

Q: +00 1 (2) dx 2 ( In z) x=e x=e

A: 1. Given Let Applying derivative on both sides: Hence the indefinite integral can be written as:…

Q: Evaluate the given definite integral using appropriate substitution: 8e2a dx -4e4 +4 A © -4e4 – 4 В…

A:

Q: Evaluate the following definite integrals: а. бх dx (4 – x2)*2

A: topic - definite integral  note : as per bartleby guidelines we are supposed to answer only first…

Q: Consider the following integrals 4 sin? x -dx x2 + 6 00 e9t dt i. e9t – 1" Mark the correct one for…

A: Step:-1 Since, we know cos2x = 1- 2 sin2x⇒2 sin2x = 1 - cos2x An integral is called convergent if…

Q: Find the following definite or indefinite integrals: 2+In x dx a) S-

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Q: ~3 (x/x+1)dx

A:

Q: Evaluate the following integrals.

A:

Q: xªe¬ª dx x=0

A:

Q: Evaluate the following integrals. Where appropriate, give exact answers, not decimal approximations.…

A:

Q: Q1. Evaluate the following integrals. 10) ((x? + 3x +5) cos 2xdx

A: we have to calculate the integral,  The given integral is ,  I=∫(x2+3x+5) cos2x dx

Q: d) V1+x? dx

A: Consider the provided question, We need to evaluate the definite integral ∫01 x31+x2dx

Q: Find the following integrals a) f_d dx x√In x

A: As per the guidelines, we are supposed to answer only one question at once. Kindly repost the…

Q: Evaluate the following indefinite integrals. sin? 5x cos? 3.x dx

A:

Q: (b) [* x'sin (x) dx

A:

Q: Evaluate the following indefinite and definite integrals: S(x' +e* )dx

A:

Q: evaluate the definite integral using the values below. 23 dx = 320, a de = 16, dx = 4 2 34. z da

A:

Q: Q1: Evaluate the following integrals by using a substitution to reduce it to sec X dx 1 standard…

A: We have to use substitution method.

Q: - sec (r)) de 3a sin(r+5) da

A: Integrate

Q: dx 4-e4x S sin 0 V1 – cos 0 d0

A:

Q: Evaluate the definite integral.

A: Now consider,

Q: Find the general indefinite integral or evaluate the definite integral, as necessary. f) S, sin(578)…

A:

Q: 1. Evaluate the following definite and indefinite integrals. a) St sec2(t?) tan*(t²) dt

A: SINCE YOU HAVE ASKED MULTIPLE QUESTIONS IN SINGLE REQUEST, WE WILL  BE ANSWERING ONLY THE FIRST…

Q: csch(3 tan x) + sin² x cos? x 1. d.x

A:

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

A: Given,

Q: 1 dx

A: Topic:- integration

Q: Find the following definite integral where A is a constant and A > 2: | (10z + 17z +1) dx = %3D

A: We have to find the integral of∫2A(10x3+17x+1)dx, where A>2. Applying the sum rule of…

Q: Find the following indefinite integral. I dx x2 + 9

A: From the given problem:   I=∫xdxx2+9...(1)   Let,   x2+9=t   To differentiate with respect to x.…

Q: Evaluate the following integrals i. L Ix| e(1+x*) dx -0.5 ii. So x cosh(x² + 1) dx

A:

Q: b) Calculate the following definite integral: [*(√x - 3) dx

A:

Q: 4 3 dx | cos(x) .5 1

A: Let I=∫14cos x-3x5dx

Q: Find the following integral, given that f (x) dx = 10 and | 6)*dx = 14. 9. b.

A:

Q: Which of the following definite integral has the greatest value? B sin x dx 2+xdx O S 16-xdx

A: We have to find greatest the integral which have greatest value

Q: So S(xy²) dxdy 4. 3

A:

Q: Evaluate the following integrals.

A:

Q: Evaluate the following definite and indefinite integrals. (a) / sin(x) cos(x)ešin(=) dx (b) L. V5/2…

A:

Q: For which constant B values is the integral o (3x2 + 2x – 3y, Bxy+ 4y) F. dr, F(x, y) ||…

A: Given,             F(x,y) = < 3x2+2x-3y2 , βxy+4y>To find →  (i) β such that ∫CF . dx is path…

Q: Evaluate the following integrals. When using substitutions, be show to show them explicitly. a) + 5…

A:

Q: Find the following definite Integrals : Wir ( i+ sec?x)dx 2. a. X.

A:

Q: Ssei'x C tan'x t1) dx 3. X.

A: According to Bartleby guidelines I can only answer the first question of the given two. please…

Q: B) S 12 sec 3x tan 3x dx

A:

Q: r1 x³ +1 dx x +1 Jo

A: Definite integrals can be computed using the fundamental theorem of calculus. It states that if…

Q: Evaluate the following definite integrals. 4. , kr+2/dx

A:

Q: L sin-1 x dx

A: We need to calculate the integral: ∫01sin-1x dx This can be done as follows:

Q: X- 1 dx d.

A:

Q: Evaluate the following integrals /8+tan x dx 1-sin?x i.

A: Note few things.

Q: |2+|x| dx –1

A:

Q: e tan (e) d.r (b) sec2 (e) - 7

A:

Q: Q1/ Evaluate the following integrals: (a) S sin³ cos dx . (b) Ja dx . (e) S r² (- 1) dr .

A: We have to find the value of the integrals given.  Note- since you have posted multiple independent…