Evaluate the integral: S sin x In(sin x) dx

Q: Evaluate the integral: sec x(sec x + tan x) dx

A: To find the below integral.

Q: sin³ x dx 7. Evaluate the integral:

A: Given:         ∫0πsin3x dx

Q: Evaluate the integral sin° x coS" x dx

A:

Q: Evaluate the integral: -12 csc 3x cot 3x cos(csc 3x) sin(csc 3x)

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.