Which of the following is correct for the improper integral / de ? (a) Integral converges to –7. (b) Integral converges to – (c) Integral converges to (d) Integral diverges. (e) Integral converges to r.

Q: 4) In each part, determine whether the integral is convergent or divergent. 5 3 D 00 √x dx b) 0 - dx…

A: Solution to the integrals.

Q: 5 Determine whether the improper integral converges or diverges, and if it converges, find its…

A: The given improper integral is: I=∫-∞∞ 3ex3+e2x dx

Q: Determine whether the integral is convergent or divergent. '14 5 x + 2 xp convergent o divergent If…

A:

Q: Determine whether the improper integral diverges or converges. 0. -5x хе dx

A:

Q: Evaluate the integral (or show that the integral diverges or converges, if improper)

A: Evaluate the given integral.

Q: Consider the improper integral Justify your reasoning. (a) dr. Does it converge or diverge?

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Q: Determine whether the integral is convergent or divergent. 41z2 In z dz convergent divergent If it…

A:

Q: Determine whether the integral is convergent or divergent. '3 33 dx 3 convergent O divergent If it…

A:

Q: 3. Does the improper integral 2 dx converge? et +e-*

A:

Q: a real number. Find whether your reasoning. dr; b)

A: We have to determine the convergence or divergence of the following integral: ∫1∞1xx-adx

Q: sin(x) dx Jo

A:

Q: How do I do this one?

A: Given integral is The integral is improper and can be evaluated as follows

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.