2_5201826271..Home Work No. (1)Q1/ Evaluate the following integrals:(a) S sin³cos dx.(b) S dx.(x-4(c) S r² (- 1) dr.(d) Sdx .Q2/ Find the total area between the curve y = -x² – 2xand the X-axis.Q3/ Find the area of the region enclosed by the curvesy = 7 – 2x? and y = x² + 4 .Q4/ Find the area of the region enclosed by the curves4x2 + y = 4 and x* – y = 1.

We have to find the value of the integrals given. Note- since you have posted multiple independent…

Answered: Q1/ Evaluate the following integrals:…

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Calculus

Q1/ Evaluate the following integrals: (a) S sin³ cos dx . (b) Ja dx . (e) S r² (- 1) dr .

Calculus: Early Transcendentals

8th Edition

ISBN:9781285741550

Author:James Stewart

Publisher:James Stewart

Chapter1: Functions And Models

Section: Chapter Questions

Problem 1RCC: (a) What is a function? What are its domain and range? (b) What is the graph of a function? (c) How...

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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.

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2_5201826271..
Home Work No. (1)
Q1/ Evaluate the following integrals:
(a) S sin³
cos dx.
(b) S dx.
(x-4
(c) S r² (- 1) dr.
(d) S
dx .
Q2/ Find the total area between the curve y = -x² – 2x
and the X-axis.
Q3/ Find the area of the region enclosed by the curves
y = 7 – 2x? and y = x² + 4 .
Q4/ Find the area of the region enclosed by the curves
4x2 + y = 4 and x* – y = 1.

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