Which of the following three improper integrals is/are convergent? 1 +o∞ (1) S™* sin x dæ (II) S"™ S 23 dæ dx (II) a+x3 Select one: O a. Il only O b. I and II only Ос. O c. I All of I, Il and I O d. None of I, II, and III

Q: Evaluate each integral. dx а) 5x – 4 b) [(2-VF)dx

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Q: 11. a) Write the integral of 1 / (9 + t²) dt from t = 0 to t = 2 in symbolic form, b) Then find the…

A: To write the integral 1/(9+t2)dt from t=0 to t=2 in symbolic form and evaluate the integral.

Q: Ss (2ava2 + 2) dæ dx r+1 vi) đt 64 Jo (sin 2x + cos 2x) dz

A: Firstly let's recall few basic integration formule.

Q: 1) f3x* dx +x dx 3) fxva² +I dx

A: We know that, ∫ xn dx = [( xn+1 )/( n+1 )] + C

Q: Find the integral. |(2x° – 7x° + 5) dx 1 A. 3 7 4 x* + 5x + C 4

A: he given integral is ∫2x5-7x3+5dx

Q: The value of the improper integral 42 x² e¯¤* dx 1 - 14e 14e-1 - O 14e-1 O 42e-1 O – 42e-1

A: Explanation of the solution is given below...

Q: S'(1 + v=)dz b)

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Q: The substitution u = r changes the integral 2xe²° dæ into 2ue%² du Select one: O True O False

A: Given that:                       1. Substitution of u=x3 in ∫012xex2dx into ∫012ue9u2du2. k≠0, then…

Q: 1. Evaluate the improper integral or show that it diverges. (a)/ e* dx 8. (b) / dx (c) d.r (d) /…

A: If the limit exists and is a finite number , we say that the improper integral converges .If the…

Q: 8 sin? a 00 i. x2 + 5 xp-

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Q: Which of the following statements match the indefinite integral S(3ª) dx? 3² ○ (3²) dx = 3 +C In…

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Q: Evaluate the following integrals: dx 1. Vzax-x2

A: “Since you have asked multiple questions, we will solve the first question for you. If you want any…

Q: 11. Evaluate the integral. +3 x² + 4

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Q: Find the integral for the following : dx 2- fe-*sec? (ne-*)dx 3- Sdx ZVI+2x 1+e*

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Q: Which of the following is incorrect about the properties of an integral? rx)dx = - L, f(x)dx Si…

A: As we know that from property of definite integration.

Q: 3t2 + 4t – 8 - dt J t3 – 5t2 + 4t – 20 -

A: Given: The integral is ∫3t2+4t-8t3-5t2+4t-20dt. To find: Value of the integral…

Q: 27. (u + 2)(n-3) du 29. f. 2+² dx 28. f*(4-1)√1 dt 30. f²₁ (3u-2)(u + 1) du

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Q: calculate the indefinite integral.

A: Here the given function Or it can be written as

Q: SHOW ALL WORK! 1 - dx (5x+1)' .. Evaluate the improper integral or show that it is divergent.

A:

Q: The integral of the given function fan* tan3x dx is Vsecx tan5x tan?x а. 5 + C 3secx tan5x b. tan³x…

A: Given query is to eveluate the integral.

Q: Find the integr dx 1-5 2Vx+2x

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Q: 1²271² - dz z+1

A:

Q: dx 5. S let x = 2atan²Øø xV2ax+x² dr

A: To solve∫dxx2ax+x2