DQ 4A: Integration Concepts Must post first. Given two functions, f1(x) 2x and f2(x) = x2, explain what 2 A()f2() d 0 represents and calculate this integral in the interval [0, 21. Show all work.

Q: Find g(x) if g (x) = (30x² – 60x) - 75»²–15z² and g(0) = -3. Round any numbers to 4 decimal places…

A: We use substitution method

Q: 6. Complete the square to get an equivalent expression: 7-6x – x² No integration necessary on this…

A: 6 Given expression is 7−6x−x2. We have to complete the square to get the equivalent expression…

Q: Suppose v(t) gives a particle's velocity at time t , in miles per hour. Write an integral expression…

A: Let the particle velocity v(t) at time t , (in miles per hour)

Q: Determine the following integrals. f(x² −5x+6)dx a. b. 4 √(²²-27) dr dt C. √√√x³ dx d. f(x^2 + 2x +…

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Q: Im kind of confused with the integration of (y-1), can it also be ((y2)/2)-y?

A:

Q: 6 Strange fact: 8(2x) is different from 5(x). Integrate them oth from 1 to 1.

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Q: df Use integration to find f(1) when f(3) = 1000 and = 4(x+1)(x² + 2x)³. d x -24,272 -26,341 25,980…

A: Integrate on both sides of the given differential equation and find f(x) .

Q: Determine the indefinite integral. Check your work by differentiation. S(5x3. Sx + 2) dx O 15x4 -…

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Q: 1 3. Jo Txt+1 dx

A: