Using the maxma and minima of the function, produce the estimates of the integral: I-SSR 9cos (x-y) where R is the legioni Ra [o,1x [o1 upper and laver and lover

Q: Evaluate the integral by any mothod d choice: dx (b) e* dx

A: Consider the given: ∫1x-x3dxApply u…

Q: find the funotion with hejp of a indegral meau value betw een 4,1] of g(x)=\xl-2

A:

Q: 4 3 b. J 20(2x + 1)°dx 1

A:

Q: 1. S V16 – 4x²dx

A:

Q: sec²t dt V5 – sec²t

A: ∫sec2t5-sec2tsubstitute sec2t=tan2t+1 ∫sec2 ( t ).14-tan2 ( t )dt

Q: EXAMPLE 1 Using the Strategy Find two numbers whose sum is 20 and whose product is as large as…

A: Given sum of two numbers be 20

Q: H.W: Evaluate the integral: 1. √2 3y 8-x²-y² SS S 0 0 x²+3y² dzdxdy

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.