Express the integrand as a sum of partial fractions and evaluate the integrals. x+9 S: -dx 3 2x - 8x

Q: Use symbolic notation and fractions where needed.) a= b = C = d =

A: Topic:- calculus

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A: solution:-f(x)=6x3-11x2+1f'(x)=ddx6x3-11x2+1=18x2-22xf''(x)=d2dx26x3-11x2+1=36x-22

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A: We can solve this as follows:

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A: topic - rate of change of function

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A: We have to find value of given Integral using partial fraction.

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A: The Solution is dydx=-y2(x+3y)

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A: Given,I=∫11+xxdxSubstitute  u=x(u2=x)Differentiate du=12xdx2du=1xdxThereforeI=∫21+u2du

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A: integration

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Q: Find the maximum and minimum limits of the function X-2 (x + 2)²

A: Explanation of the answer is as follows

Q: In2 fin² coshx dx

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A: see below the answer

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A:

Q: 2xydx +(1+x²) dy

A: 2xydx+x2+1dy=0

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A: We can find the instantaneous rate of change as below

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A: Given that ∫-23fx dx=7 and ∫36fx dx=-5, then to determine which of the following is not True.A…

Q: S -1 etan 1+4t² 2t - dt

A: Let u=tan-1(2t)⇒dudt=21+(2t)2=21+4t2⇒du2=dt1+4t2 ∫etan-12t1+4t2dt=∫eudu2…

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Q: Determine the intervals on which the function is concave up or down and find the value at which the…

A: To determine the intervals on which the function is concave up or down and to find the value at…

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A: We can find the answer as below

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A: