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VTU Engineering Maths 1 Changing the order of integration interesting example(PART-2)
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In this video explaining second problem of double integration by changing the order of integration. This maths problems helps in engineering students.
Here are the steps involved in changing the order of integration
Draw a diagram of the region of integration: This will help you visualize the limits of integration for each variable.
Identify the limits of integration for each variable: You will need to know the range of each variable in terms of the other variable.
Rewrite the limits of integration: This is done by using the information from step 2 to write the limits of integration in terms of the new order of integration.
Reverse the order of integration: This is done by replacing the inner integral with the outer integral and vice versa.
Evaluate the new integral: This involves integrating the integrand using the new limits of integration.
Check your work: Make sure that the result of the new integral is consistent with the original integral.
#integration #multipleintegration
18MAT11 Module1: Differential Calculus1
18MAT11 Module2: differential Calculus2
18MAT11 Module4: Ordinary differential equations
Linear Algebra: 18MAT11 MODULE 5
18MAT21 MODULE 1:Vector Calculus
18MAT21 MODULE 2:Differential Equation higher order
18MAT21 MODULE 3: Partial differential equations
18MAT21 MODULE 4: Infiinite series & Power series solution
18MAT21 MODULE 5: Numerical methods
18MATDIP41 Linear Algebra
18MATDIP41 Numerical Methods
LAPLACE TRANSFORM : 18MAT31
Fourier Transforms,Z-transform : 18MAT31 & 17MAT31
Joint Probability & Sampling Theory: 18MAT41 & 17MAT41
Probability Distributions: 18MAT41 & 17MAT41
Calculus of Complex Functions: 18MAT41 & 17MAT41
Curve fitting & Statistical Method 18MAT41 17MAT31
COMPLEX NUMBER: 18MATDIP31
Vector differentiation 18MATDIP31 & 17MATDIP31
Differential Calculus & Partial Differential 18MATDIP31 & 17MATDIP31
Here are the steps involved in changing the order of integration
Draw a diagram of the region of integration: This will help you visualize the limits of integration for each variable.
Identify the limits of integration for each variable: You will need to know the range of each variable in terms of the other variable.
Rewrite the limits of integration: This is done by using the information from step 2 to write the limits of integration in terms of the new order of integration.
Reverse the order of integration: This is done by replacing the inner integral with the outer integral and vice versa.
Evaluate the new integral: This involves integrating the integrand using the new limits of integration.
Check your work: Make sure that the result of the new integral is consistent with the original integral.
#integration #multipleintegration
18MAT11 Module1: Differential Calculus1
18MAT11 Module2: differential Calculus2
18MAT11 Module4: Ordinary differential equations
Linear Algebra: 18MAT11 MODULE 5
18MAT21 MODULE 1:Vector Calculus
18MAT21 MODULE 2:Differential Equation higher order
18MAT21 MODULE 3: Partial differential equations
18MAT21 MODULE 4: Infiinite series & Power series solution
18MAT21 MODULE 5: Numerical methods
18MATDIP41 Linear Algebra
18MATDIP41 Numerical Methods
LAPLACE TRANSFORM : 18MAT31
Fourier Transforms,Z-transform : 18MAT31 & 17MAT31
Joint Probability & Sampling Theory: 18MAT41 & 17MAT41
Probability Distributions: 18MAT41 & 17MAT41
Calculus of Complex Functions: 18MAT41 & 17MAT41
Curve fitting & Statistical Method 18MAT41 17MAT31
COMPLEX NUMBER: 18MATDIP31
Vector differentiation 18MATDIP31 & 17MATDIP31
Differential Calculus & Partial Differential 18MATDIP31 & 17MATDIP31
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