x³ + 2x² + 3 4/9 dx 3x6 + 17x10 + 10x12 8°

Q: Determine whether the improper integral converges. If so, evaluate it. S 6. xdx Vx-3 3

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Q: b. C. 8 x3 x5+2 d. So 8 dx √₂ √x²-x dx dx x+√x

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Q: Evaluate the following integral and decide if it converges to a value or diverges. In a dx

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Q: Use the Comparison Theorem to determine if the following integral converges or diverges. x2 х* — 2

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Q: A jungle has 400 monkeys, and it is estimated that the maximum population of the monkeys in the…

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Q: . Determine whether the integral converges or diverges. If it converges, evaluate dz x²-x-2

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Q: The integrals below converge. Evaluate

A: The improper integral converges, when limit exist is finite.

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.