Calculus - 2

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Integration

Definition of integration of a function.

#Integral Calculus
Integration as Inverse of Differentiation

Integration can be defined as inverse of differentiation.

#Integral Calculus
Integration Rules and Formulae

Different rules to find Integration of a function.

#Integral Calculus
Q1

Find integration of the given functions.

#Basic
Q2

Evaluate the given integrals.

#Basic
Q3

Evaluate the given integral.

#Basic
Q4

Evaluate the given integral.

#Basic
Method of Substitution

How to find integration using method of substitution.

#Integral Calculus
Q5

Find the indefinite Integrals of given functions.

#Basic
Q6

Evaluate the given integral.

#Basic
Q7

Integrate the given function wrt x.

#Basic
Q8

Evaluate the given integral.

#Basic
Q9

Evaluate the given integrals.

#Basic
Q10

Evaluate the given integral.

#Basic
Definite Integral

Rules for Definite Integral

#Integral Calculus
Q11

Using integration, show that the area of triangle is as given.

#Basic
Q12

Using integration, find the area of a circle of radius R.

#Basic
Q13

Find area of the region bounded between concentric circles of radii a and b.

#Basic
Q14

Find the area of the shaded region.

#Basic
Q15

Find the surface area of a sphere of radius RR.

#Basic
Q16

Find the volume of a sphere of radius RR.

#Basic
Q17

Find the area of curved surface of a cylinder of radius R and length L.

#Basic
Q18

Using integration, show that the volume of a right circular cone is as given.

#Basic
Q19

Find the total mass of rod.

#Basic
Q20

Find CoM of rod whose Linear mass density varies with x.

#Basic
Q21

Find area of region bounded by given curves.

#Basic
Q22

Find area of region bounded by given curves.

#Basic
Q23

Find area of region bounded by given curves.

#Basic
Q24

Find area of region bounded by given curves.

#Basic
Q25

Find the average value of given function.

#Basic
Q26

Find the value of given integral.

#Basic
Q27

Find the value of given integral.

#Basic
Q28

Find the value of given integral.

#Basic
Q29

Find the value of given integral.

#Basic
Q30

Find the value of given integral.

#Basic
Q31

Find the value of given integral.

#Basic
Q32

Find the value of given integral.

#Basic
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