Find the partial decomposition for (2x+1)/(x^2-5x+6).  First write it out with the unknowns in place. Next, setup a system of equations to solve for the unknowns. Show your reasoning. Finally solve for the unknowns. Find the integral.

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A: To find: -Solve the given integral using partial fractions.

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Q: P1:

A: Solving

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Q: Expand the quotients by partial fractions. 2x + 2/x2 - 2x + 1

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A: Solution of question is written in below steps.

Riemann Sum

Riemann Sums is a special type of approximation of the area under a curve by dividing it into multiple simple shapes like rectangles or trapezoids and is used in integrals when finite sums are involved. Figuring out the area of a curve is complex hence this method makes it simple. Usually, we take the help of different integration methods for this purpose. This is one of the major parts of integral calculus. 

Riemann Integral

Bernhard Riemann's integral was the first systematic description of the integral of a function on an interval in the branch of mathematics known as real analysis.