4. Using the Fundamental Theorem of Calculus part 1, find a formula for the area function 2t4 A(x) = | 3t – Vt dt. - t2 Show all of your work.

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A: Note: As per the company's policy we are supposed to solve only 3 subparts of the question. So…

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Q: Question 007: Complete the following question involving Integratin by Parts Method. Given the…

A: Given that  ∫10x*e4x dxWe need to evaluate the above integral by integration by parts.

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A: Given:        ∫5xx3+x2+4x+4dx Apply linearity:     =5∫xx3+x2+4x+4dx Factor the denominator:…

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A: Since the integrand of the given integral is not defined at x=0, therefore, the given integral is an…

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Q: 6.3.28. Evaluate the integral. using U substitution integrate (x^2)sqrt(x^2-1)dx

A: Use substitution method, to evaluate the integral

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Q: Question-10 Evaluate the following integrals. a) S ( + 10) dx +e 3x

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A: As per guideline we have to solve only one question

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Q: 2. Evaluate the indefinite integrals. (a) fx² - 2e*dx (b) Evaluate (3-4x)¹5 dx

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Q: If -2 f(2)dz = [ f(2)dz + what are the bounds of integration for the first integral? and b =

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Q: Question two. Evaluate the followings integrals. (a) f tanz dzC; where C 1- C:z-1| <1. C:2|<2. 2-

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Q: Can you help me step by step?

A: dA/dt may be written as,

Q: Evaluate the improper integral if it exists e'dx: -0- e .2 O -e.3 O The improper integral diverges 4…

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

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A: We will solve the integration using substitution.

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A: As per our guidelines we are supposed to answer only one question.Kindly repost other question as…

Q: 4) From the graph below 10 -20 -15 -10 10 15 20 -10 -15 a) Use integration to find the shaded area…

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Q: السؤال 8 Evaluate the improper integral if it exists e'dx: - 00 -e.1 O e.2 O .3 0 The improper…

A: We will evaluate the integral and check if it converges.

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A: Consider the given integral.

Q: Question 5. For this question consider the standard result: 1 ;du = tan¬1 u + u? (1) Only using (1)…

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A: We have to solve the improper integral.