Subject and UNIT: Engineering Graphics: Unit 0 (a): Introduction to Engineering Graphics
The art of representation of an object by systematic lines on a paper is called a `Drawing'.
Solved Problems | Multiple Integrals | Matrices and Calculus
Subject and UNIT: Matrices and Calculus: Unit V: Multiple Integrals
Questions and Answers: Matrices and Calculus: Unit V: Multiple Integrals
Worked Examples, Exercise with Answers
Subject and UNIT: Matrices and Calculus: Unit V: Multiple Integrals
If a particle of mass m is at a distance r from a given line, then mr2 is called the moment of inertia of the particle about the given line.
Worked Examples, Exercise with Answers | Multiple Integrals
Subject and UNIT: Matrices and Calculus: Unit V: Multiple Integrals
As a physical application of multiple integral, we shall see centre of mass and cen- tre of gravity of two dimensional and three dimensional objects.
Worked Examples, Exercise with Answers
Subject and UNIT: Matrices and Calculus: Unit V: Multiple Integrals
We shall now see the change of variables other than the above transformations.
Worked Examples, Exercise with Answers
Subject and UNIT: Matrices and Calculus: Unit V: Multiple Integrals
As in the case of double integrals, the triple integral is evaluated by three successive integration of single variable.
Worked Examples, Exercise with Answers
Subject and UNIT: Matrices and Calculus: Unit V: Multiple Integrals
Double integrals occur in many practical problems in science and engineering.
Solved Problems | Integral Calculus | Matrices and Calculus | Matrices and Calculus
Subject and UNIT: Matrices and Calculus: Unit IV: Integral Calculus
Questions and Answers: Matrices and Calculus: Integral Calculus
Definition, Worked Examples, Exercise with Answers, Hydrostatic Force and Pressure, Moments and Centre of Mass | Integral Calculus
Subject and UNIT: Matrices and Calculus: Unit IV: Integral Calculus
We can use definite integral to compute force exerted by a liquid on a surface, such as the force of water on a dam.
Theorem, Worked Examples, Exercise with Answers | Integral Calculus
Subject and UNIT: Matrices and Calculus: Unit IV: Integral Calculus
there are many practical problems where ƒ is unbounded on [a, b] or the interval is not finite. Such integrals are known as improper integrals.
Worked Examples, Exercise with Answers | Integral Calculus
Subject and UNIT: Matrices and Calculus: Unit IV: Integral Calculus
When the integrand can not be reduced to standard form by substitution, we apply integration by parts. It corresponds to product rule in differentiation.
Worked Examples, Exercise with Answers | Integral Calculus
Subject and UNIT: Matrices and Calculus: Unit IV: Integral Calculus
Further we have the following list of integrals of standard functions from the derivatives of these functions. This list is important for integration.