3+ In(2x) dx Vx-1

Q: Determine whether the integral is convergent or divergent. If it is convergent, evaluate it. (If the…

A:

Q: Determine whether the integral is convergent or divergent. dr convergent divergent If it is…

A:

Q: 1 dx 003-4x

A:

Q: Determine if the integral converges or diverges by comparison.

A: We know that sinx lies between -1 to 1. So, Using this we get:

Q: Problem 3. Determine whether the improper integrals converge or diverge a) sin(x²)dx b) cos(r²)dx c)…

A: Check whether the improper integral converge or diverge.a∫0∞sinx2dxb∫0∞cosx2dxc∫0∞sinxsinx2dx

Q: A dx 1

A:

Q: 3x 1. dx (Зx2 + 2)2 -3 2.J2 13-x 1 dx

A: Convergence of the series

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.