Q.1) Evaluate the following integral e dar. - 4e – 1)3 (2e2

Q: 5. S Evaluate the integral, if it exists. du √u - 2u² Ա

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Q: 05: A) Evaluate the following integral : S(z? - z-2)² + 4 dz

A: To evaluate the given integral

Q: Q14: Compute the following indefinite integral х2+5х+6

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Q: Use the Fundamental Theorem of Calculus to evaluate the following definite integral. 8 3 dt t 1

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Q: O Evaluate the following integral 2dr J a (3(ln z)2 + 12 In r 15)

A: We need to evaluate the given integral

Q: Q.1) Evaluate the following integral dr (2e – 4e – 1)

A: To evaluate this integral by method of substitution

Q: Given the following integral S7. Vtan2(e) de

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Q: Compute the given integral. +C

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Q: Evaluate the following integral x* In(x) dx O a. 6e5 25 O b. es 5. 4e5 25 es 25

A: One of the two main parts of calculus which are concerned with the study of integrals, as opposed to…

Q: 1. Evaluate each of the following iterated integrals. b. L yz tan xdxdzdy

A: Triple integration.

Q: 1 dt (1+t?)/2

A: Use trigonometric substitution method to evaluate the integral ∫11+t232dt. Let t=tanu then find du.…

Q: Evaluate the following integral from 1 to 2 2w^3e^w^2 dw

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Q: Evaluate the following integral: sos X 1 +1 d dydx

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Q: Evaluate the following iterated integral. 2 16 15y dx dy 2.

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Q: Evaluate the following integral (x Inx) dx Select one: (Inx)? + +C 4 Inx 2 Inx x+C 2/x * (2 (Inx)? –…

A: The given integral is: ∫xln x2dx=∫x ln x2dx

Q: 11 Compute the integral Sre dzdy (Hint: Change the order) 0 y a)3(e – 1) b)(e – 1) c) d) e)3(1 – e)

A: Explanation of the answer is as follows

Q: In2 Evaluate the iterated integral ſo"" S 7 dxdy

A: In this question we have to find the double integral of the given function.

Q: Calculate the following integral: e 3x3 + 1 dw 1

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Q: t0 SinnlVx) 기 x

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Q: 1. Evaluate the following iterated integral. 16 4 dydr

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Q: Make the given substitution to evaluate the indefinite integral. 28r dr .u= 3-r 3-r'

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Q: If | h(s)ds = 21 and h(s)ds = 10.8 2 what does the following integral equal? | h(e)ds - [

A: If ∫-56hsds=21 and ∫-26hsds=10.8. Then we have to find the integral value of ∫-5-2hsds=?

Q: 1. Evaluate each of the following iterated integrals. SE dxdydz а.

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Q: Evaluate the following iterated integral. 22 2.2 x"y хр Ар 00 22 2.2 00 (Type an exact answer in…

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Q: Prove that E (2s+l)=3n" whenever 'nisa psitre r'nisa pisitive intger. 32.

A: Given that,      ∑j=n2n-12j+1=3n2, n is a positive integer

Q: π/2 The integral f/2 fossin drde is equal to O-1/2 O 1/2 01 00 10

A: We have to find the integral ∫0π2∫cosθ1sinθ drdθ .

Q: sen( ds

A: We will find out the required value.

Q: Evaluate the integral sin^4 e de from 0 to Tt/2 * T/4 O 2r/3 O 31/16 О З1/5

A: We have to evaluate the integral ∫0π2sin4θdθ. Use the reduction integral formula, which is given…

Q: Q.1) Evaluate the following integral et xp- J 2= – 4e* – 1) “r

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Q: Evaluate the following iterated integral. 4 2 x cos y dy dx

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Q: S In² x dx

A: To evaluate the integral: ∫ln2x dx Solution: Integration by parts states that: ∫uv dx=u∫v dx-∫ddxu∫v…

Q: Evaluate the integral. 7 Inx ey dy dx O 16 O 18 O 9 O 32

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Q: 1- Find the integral of: 2 cot - de 3 7/2 A- B- dr Vr

A: (A) Given integration is : ∫π2π2cotθ3dθ Use property of integration ∫cotaxdx=logsinaxa+c

Q: Evaluate the following integrals. (a) [ t«² – 1° dt (b) / 6te0.2t dt (c) dr

A: (a). As we know that the property of the integration, if f(x) is an odd function then ∫-aafxdx=0…

Q: Evaluate the definite integral. •4 ti + t?j| dt 3 |(7 - 1) 2 17 3 173 3

A: The value of the given integral is 1/3(173/2 - 1)

Q: Q1/ Solve the following iterated integral: SL. ex-ydA, R: 0sxs In 2, 0sys In 2.

A: 1) We have to solve the iterated integral ∫∫nR ex-ydA where R= 0≤x≤ln2 ,0≤y≤ln2

Q: .4 The integral f has a value of: a. In y In 4 b. С. d. In 2 е.

A: Hi There,  As per bartleby rules, we are supposed to do only one question at a time.  Kindly repost…

Q: Evaluate the following integral 2dr (3(ln r)2 + 12 In z – 15) 15)

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Q: Sn/2 "/2 cot3 x dx

A: Given: ∫π4π2cot3xdx

Q: ** . 1 x+y S dxdydz -2

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Q: Evaluate the integral. du 2 u3

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Q: Evaluate the following integral a) º r16 1+ Vª dx

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Q: Evaluate the following definite integral. ds 6s +5

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Q: The evaluate the integral (1) is equal 13erf(t) dt

A: The function, erf(x) is defined as erf(x)=2π∫0xe-t2dt .

Q: I. Evaluate each of the following iterated integrals. T/2 csiny Jo

A: Given ;∫0π2∫0sinyx1-x2dxdy

Q: Evaluate the Integrals using cavely's in tegmal formula s 1 $(2) = dz where e is the eivek (8-x)…

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Q: The result of the following double integral is 2 2 у ST (6 x² y - 5 e)dxdy= ? 0. -2 y 909 -20e? +…

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Q: Evaluate the following integral using Simpson's 1/3 rule, with n = 8 5 2.5 sin(1.5 x) + 1.22…

A: Given function is  f(x) = 2.5sin(1.5x) + 1.22cos(0.75x) + 1.75ex h = b - aN = 5 - 28 = 0.38

Q: 2. Find the following integral: NT u sin du. n.

A:

Q: t'dt √4+1² 19 dt

A: We have to evaluate ∫02t34+t2dt.