Example 1 (NCERT)(NCERT)SSlax + b) dx =F(ax + b)+ C, a 0.Proof. Put ax +b t, then a dx - dt > dx =(r(ax + b) dx -(NCERT)Srm.dt-ro dt50% of the daa reliable measure.QuafHence, we have the following important rule:+ C =F(ax + b)If the integral of a function of x is known, then if x is multiplied by a constant and to the productis added another constant, the integral is of the same form but it is divided by the coefficient of x.T Exemplar)2-13-3. Mean De+ C, a 0.REMARKmean deviation froLong DivisionMean deviswhere I xwhere theIn a rational function, if the degree of the numerator of the integrand is equal to or greaterthan that of the denominator, divide the numerator by the denominator until the degree ofthe remainder is less than that of the denominator.weSineIn this context, remember thatdisperdevionnornumeratorerage isd KafkadenominatorERT)treaquotient +%3Dremainderdenominatore is calledSpiegelILLUSTRATIVE EXAMPLESExample 1. Find all the primitives of the following functions:esiderata for(i1) (5x- 2)Aure of central(ii)(7-3x)3(ii)3x-2of sampling.

Name: Example 1 (NCERT)(NCERT)SSlax + b) dx =F(ax + b)+ C, a 0.Proof. Put ax
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Description: Example 1 (NCERT)(NCERT)SSlax + b) dx =F(ax + b)+ C, a 0.Proof. Put ax +b t, then a dx - dt > dx =(r(ax + b) dx -(NCERT)Srm.dt-ro dt50% of the daa reliable measure.QuafHence, we have the following important rule:+ C =F(ax + b)If the integral of a fun

Primitive is a synonym of antiderivative or indefinite integral. When the given integral or function…

Answered: Example 1. Find all the primitives of…

Math

Calculus

Example 1. Find all the primitives of the following functions: (i) (5 x-2) (ii) (7-3x)3 (iii) 3х-2 3.

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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Binomial Distribution

Binomial is an algebraic expression of the sum or the difference of two terms. Before knowing about binomial distribution, we must know about the binomial theorem.

Topic Video

Question

Example 1

(NCERT)
(NCERT)
SSlax + b) dx =
F(ax + b)
+ C, a 0.
Proof. Put ax +b t, then a dx - dt > dx =
(r(ax + b) dx -
(NCERT)
Srm.dt-ro dt
50% of the da
a reliable measure.
Quaf
Hence, we have the following important rule:
+ C =
F(ax + b)
If the integral of a function of x is known, then if x is multiplied by a constant and to the product
is added another constant, the integral is of the same form but it is divided by the coefficient of x.
T Exemplar)
2-13-3. Mean De
+ C, a 0.
REMARK
mean deviation fro
Long Division
Mean devis
where I x
where the
In a rational function, if the degree of the numerator of the integrand is equal to or greater
than that of the denominator, divide the numerator by the denominator until the degree of
the remainder is less than that of the denominator.
we
Sine
In this context, remember that
disper
devi
onnor
numerator
erage is
d Kafka
denominator
ERT)
trea
quotient +
%3D
remainder
denominator
e is called
Spiegel
ILLUSTRATIVE EXAMPLES
Example 1. Find all the primitives of the following functions:
esiderata for
(i1) (5x- 2)
Aure of central
(ii)
(7-3x)3
(ii)
3x-2
of sampling.

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