1. Evaluate the following Improper Integral. Does the limit converge? Why or why not? [Apply the method that was taught in buX video lecture and consultation recording to solve this problem]: too 1 dx xVIn r 2. Write out the form of partial fraction decomposition and then evaluate the integral [Apply the method that was taught in buX video lecture and consul- tation recording to solve this problem]: x4 + 6x3 + 10x² + x x2 + 6x + 10
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.
1. Evaluate the following Improper
or why not?
2. Write out the form of partial fraction decomposition and then evaluate the
integral.
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