Determine the indefinite integral. S()dx O x+c O 2/x +c O 3 3/x³ + c 2x² + c

Q: Compute the definite integrals. Lx cos(x) dx х COS OT – 1 O1 -2 O 2

A: Please refer the attached image for complete solution.

Q: calculate the integral of: e(x^2/2)

A: We'll use the Maclaurin series expansion for e^(x^2/2).

Q: 1. S(In x)² dx

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Q: I. Evaluate the following integrals. Зx3—2х2-4х-3 dx x² (x²+x+1) 2.

A: Given: I=∫3x3-2x2-4x-3x2x2+x+1dx   As we know that; The Power rule: ∫xndx=xn+1n+1+C ; n≠-1 And…

Q: 2. Compute the indefinite integral xe dx

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Q: 2. Find the following indefinite integrals. 1 dx (a) 16 – [In(x)]² 1 xp (b) | x?+ 2x + 26 / A 1 (c)…

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Q: 5. Evaluate the definite integral (1+Inx) а. b. S dx. 2x+3

A: a) ∫1e1+ln x2xdxb) ∫-1112x+3dx

Q: 5 Find the following indefinite integrals. 10 a. f(x+2)' dx b. J d. [4 (3-&x) dx c. (3x-7) xp-

A: c)

Q: Evaluate by algebra dx 1. S 3 1+ √x+1

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Q: e3x dx e 3x-7 2.

A: We use substitution method to solve this integration

Q: Find the indefinite integral.

A:

Q: Evaluate the integrals: cos2x-1 а. cos2x+1 dx b. S- x (Iпх)5 1 S 2-**x?dx с.

A: Topic-. Integration.   Note - as per our guideline only first three subparts to be solve others can…

Q: Find the indefinite integrals: (a) S dx x+1 + C. (b) S da = 23 x2+1 =

A: SOLUTION-

Q: Find the indefinite integral. -0.02t dt = +C

A: It is given to find out the indefinite integral of f(x)=e-0.02t We know that ∫exdx=ex

Q: 25 dx Evaluate the integral 10 x(In x) 5

A: We have to evaluate the integral: ∫525dxxlnx10 This will be solved by substitution method since…

Q: Find the indefinite integral. 3 8 dt = t3 t2 +C

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Q: 03: Evaluate the following integrals: E In(x-1)(x-3) -dx x²-4x+3 (3) S

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Q: IV. Evaluate each of the following indefinite integrals. 1. ſ v2-3x dx

A: Evaluation of the integral

Q: A. Evaluate the following indefinite integrals using the Power Rule: 1. SE Va dx 2. S dx 3. S(-Vx +…

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Q: What is the integral of e^(3.4*x) from x=1 to x=6?

A: Solve the definite integration and put the limit.

Q: Evaluate the indefinite integral. x2 + C dx J (x²-7)5/2 x(² –7)

A:

Q: Evaluate the following indefinite integrals: a) ∫ (1/x + 3/x2 - 4/x3 ) dx b) ∫ (x2 + 2x - 5) / √x dx…

A: The derivative of the function is the measure of how fast the function is changing with respect to…

Q: Evaluate the integral. J-Txe* dx -7(x +1)e -*+C a. O b. -7(x – 1)e*+C Oc. 7(x +1)e-*+C O d. 7xe-* +C…

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Q: 4. S)(1-x²)dx 5. S(e2t)dt

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Q: Evaluate the indefinite integral. J ( 2x - + 2x? + 5] dx 1 2 x+5x+ C 31 1 2 +5x+5x+ C 2 2 x³ +C 1

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Q: 3. S e*V1– e*dx

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Q: Evaluate the integral f e² In (x²+1)dx

A: ∫e2ln(x2+1)dx

Q: Evaluate the indefinite integral. 3 dt (t + 8)5 + C

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Q: e3x dx e3x+5

A: Please go through the attached solution. I hope that this solution will help you. Thankyou . Best…

Q: Evaluate the improper integral e-1/x dx

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Q: Find the indefinite integral

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Q: 5 Find the following indefinite integrals. 10 b. J- S(x+2)' dx a. (3x-7) xp-

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Q: Evaluate the indefinite integral. (- 23е* + 3)е* -dx J (9e" – 7)(7e* + 2)

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Q: Find the indefinite integral of 1/3 e x dx

A: Given indefinite integral is: I=∫13exdx We have to integrate the above with respect to x.

Q: find the indefinite integrals. 1. ∫ e−0.05t dt 2. ∫ (3/t  -  2/t^2)  dt

A: case 1:The given indefinite  integral  is ∫e-0.05t dt.Let u = - 0.05t, then du/dt = -0.05.

Q: Evaluate the following indefinite integrals: S (5.x2 – 3x)(2x + 4)dx а.

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Q: Find the indefinite integral of t/1+t

A: Here we have to find the indefinite integral of t/(1+t) .

Q: 2) evaluate the indefinite integral £x² 9+X² dx

A: The main objective is to evaluate the integral. The integral formula is ∫xndx=xn+1n+1+C, where C is…

Q: Evaluate the given indefinite integral. Indicate u, n, and du. xdx V3-x

A: Given, The indefinite integral ∫xdx3-x We have to evaluate the integral.

Q: Evaluate the indefinite integral Select one: O a. 1 (1 - √√x)4 1 O b.. O c. - + C (1 - √√x)² 1 + C +…

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Q: Determine the integral by making an appropriate substitution. Sx-17 dx O 1 X). (x- O_ 1 + C 16(x -…

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Q: Find the indefinite integral: Sx(x³ + 1)dx x4 + x+c x/5 + x2/2 + c x5 + x2 + c O 5x5 + 2x2 + c

A: Find the indefinite integral

Q: Evaluate the indefinite integral Sxe-xdx O-X-1 ex O X-1 ex O -x+1 e-x O-x-1 e-x -X =+C + C = + C - +…

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Q: Evaluate the following indefinite integrals. Show your solution. 1. f5 einx(sin x + cos x) dx ecos…

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Q: Determine the following indefinite integral.

A: To evaluate the indefinite integral,∫x34+x5dx. Solution: The given integral is ,  ∫x34+x5dx…

Q: e) S 7 + 2sec(2x)tan(2x))dx 1+x

A: To find: ∫71+x2+2sec2xtan2xdx

Q: [5]. Calculate the exact values of the following definite integrals. Srsin(2.x) dr (a) o dx x² - 4…

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Q: 2. S (x+1)dx x²(x-1)

A: We can find the answer in the following steps.

Q: Find the indefinite integral: O x4+x+C Ox5/5+x²/2+c O x5 + x² + c O 5x5+2x²+c Sx(x³ + 1) dx

A: Given ∫x(x3+1) dxTo evaluate the integral:

Q: Which one of the four integrals below has a finite value ? Select one: 00 x? dx 00 1 dx 3 00 x dx 3…

A: We have to find the integral which have finite value.