Va Question: Compute the integral / x" d.x in terms of a, assuming n is a positive inte- ger. Without performing further integration, find Vx dx in terms of a.

Q: Evaluate the 3 dx entegral cas/int) dk Sxtl

A: To integrate the given expressions.

Q: Would you use numerical integration to evaluate. Explain.

A: We have given a definite integral;

Q: What is the variable of integration in the following definite integral? Type only one variable. ∫pq…

A: The given definite integral is,

Q: find the cosine of the angle between the vectors. 3i + k, i + j + k

A: Let,u = 3i+kv = i+j+kFormula for finding the cosine of the angle between two vectors is given by -…

Q: Pickachu claims that the following integral can be solved they correct? Explain. [ 2² e²³ da

A:

Q: What is the result of the following ? integration dx Vx 4

A:

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.