Evaluate. d * (3x² + 4x + 1] 6x + 4 3x + 2 a3 + 2x² + x 3x + 4

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A: I am attaching image so that you understand each and every step.

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

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A: Let I=∫x3+16x2 dx I=∫xx+16 dx Let assume x+16=t2⇒dx=2t dt I=∫(t2-16)t(2t) dt =2∫(t4-16t2)dt

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A: Here, given that: ∫026(2x2+x-a)dx=24⇒∫02(2x2+x-a)dx=246⇒∫02(2x2+x-a)dx=4...(1)

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A: We have ∫8x3+13xx2+22dx.......1

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A: A differential equation of type   P(x,y)dx+Q(x,y)dy=0   is called an exact differential equation…

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A: We can solve this as follows:

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A: It is given that, ddxsech-13x.

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A: To evaluate the given indefinite integral.

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A: Given:       ∫x+4x2+4dx      =∫xx2+4+4x2+4dx Apply linearity:      =∫xx2+4dx+4∫1x2+4dx

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A: As per the guidelines we are supposed to answer only one question at once. Kindly repost the…

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A: The given integral is

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A: The given integral is:∫-3x2-2x+1x+2dxWe need to solve the above integral.We will use the method of…

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Q: YOUR TURN 3 x + 1 Find dx. (4x² + 8x)³

A: We need to evaluate the integral. We will make use of the substitution: 4x2 + 8x = u Hence, (8x + 8)…

Q: Evaluate | S 3x+5a dx x+3a

A: Here I am attaching image so that you understand each and every step.