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A:

Q: Solve the following Integral Equation: x(0)= 3 =-t +

A: Given ∂x∂t=-t+∫0txtdt with x0=3 We will solve the differential equation using Laplace transform

Q: Which of the following indefinite integrals will result to logarithmic expression? O Stan(sinx)cosx…

A: topic - integration

Q: b) S 4x/8 – xdx

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Q: dx VI + V

A:

Q: Evaluate the following definite integral: dx = 12

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Q: 3 3x - sin(Tx?)dx

A: Since you have asked multiple questions in a single request, we would be solving only the first…

Q: 3 2 4x 6. S x´e* dx

A: ∫ eau du = 1a eau +C ; where , 'C' is an integration constant .

Q: (Inºx– 3lnx) *dx

A: Given that∫ln6x-3lnx4x dxSolution :let…

Q: Evaluate the following definite integral 6x (1+ x*)³ dx

A:

Q: (b) Solve the following integrals by using substitution and exponential rule and verify the answers.…

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Q: In the following equation/s, find the indefinite integral :- see the equation as attached here

A: solution:- Finding indefinite integral:-  an antiderivative of a function f is a function F whose…

Q: Solve the following integrals with detailed steps: dx а. x²/4+x2

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

Q: Solve the following Definite Integral 10.) ,(x² +3)dx

A:

Q: Calculate the following definite integral: 2x² + 5x dx

A: Given ∫022x2+5xdx

Q: EVALUATE EACH OF THE FOLLOWING INDEFINITE INTEGRALS. Show step by step solution. 1. dx

A: see below the answer and calculation with steps

Q: Evaluate the following definite integrals log(1+ cosx) dx.

A: Introduction::

Q: Which of the following indefinite integrals will result to logarithmic expression? A (2x+7)2 ®…

A: Topic = Integration Correct option  = B ,D

Q: Refer to the definite integral to answer the following questions 3 1² (2²) (x²) dx

A:

Q: Evaluate the following definite integral: 25 8 dx = 13

A: Given, the definite integral

Q: y3 dy |(1– 2y*)$

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Q: Evaluate the following definite integral: 7 sint – 2 cost)dt. O - 2.99 O - 0.0522

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Q: dx x-1 4

A: Here we take the substitution x-1 = u to solve this integration.

Q: 2r dr (1 – r)7

A:

Q: Find the value of n in the following definite integral. 4x° dx = 1 Answer:

A:

Q: EVALUATE EACH OF THE FOLLOWING INDEFINITE INTEGRALS: Identify the u and find 4 sec?x dx

A: Please refer to the image below

Q: Evaluate the following definite integrals log(1+cosx) dx .

A: Given the definite integral

Q: : A) Solve the following integral: S x5J4(x) dx.

A: It is known that ∫xvJv-1x dx=xvJvx.

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: Solve the following integral xe* dx 1

A: Calculate the integral         ∫12xex3 dx

Q: Evaluate each of the following.definite integrals. L,(7 – 3x)dx 1.

A: Kindly keep a note in step 1️⃣ stating that as per our guidelines we are supposed to answer only 1️⃣…

Q: cln 27 et + e- d.x x=ln 13 et - e-

A:

Q: EVALUATE EACH OF THE FOLLOWING INDEFINITE INTEGRALS. Show step by step solution. 1. dx 2. x²/4-x?

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Q: tan ( tan3x) dx Evaluate: cos?3x

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Q: EVALUATE EACH OF THE FOLLOWING INDEFINITE INTEGRALS. Show step by step solution. 1. dx dx 2. xV4-x?

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Q: 4/3 /3) dx -1

A:

Q: Vx* +4 dx 2 x +4

A: From the given integral: I=∫dxx2x2+4  ......(1) Use the trigonometric substitution to find the…

Q: 15. [sec xdx

A: Trigonometric Identity: sec2x=1+tan2x

Q: -2

A:

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

A:

Q: EVALUATE EACH OF THE FOLLOWING INDEFINITE INTEGRALS. Show step by step solution. dx

A:

Q: Evaluate the following definite integral: el0 3 dx Number

A: Given query is to find the value of the integral.

Q: (b) Solve the following indefinite integrals.

A: i. Given integral ∫sinxcos2xdx

Q: 863 e- dx r=0

A: Note:

Q: 2.x dx +1, x'

A: Let I is the value of given Integral.

Q: Refer to the definite integral to answer the following questions: 4 [*(16-x²) dx

A: This is a problem related to integration. Based on the general formula and concept we will answer…

Q: S(12r* + cos(x) atr

A: Indefinite integral

Q: Solve the following Integral Equation: |frkt = xkfr =sin(t)- cos(1)+ 1(7),

A: