Definite Integral - Algebraic Functions, Powers, 4

Category: Integral Calculus, Algebra

"Published in Vacaville, California, USA"

Evaluate

Solution:

Consider the given equation above

The first thing that we have to do is to square the binomial, we have

Next, integrate the resulting equation, we have

The constant of integration is not included in the definite integral. Substitute the values of upper and lower limits to the above equation, we have  

Therefore,

 

Definite Integral - Algebraic Functions, Powers, 3

Category: Integral Calculus, Algebra

"Published in Vacaville, California, USA"

Evaluate

Solution:

Consider the given equation above

The first thing that we have to do is to get the integral of the given equation, we have 

The constant of integration is not included in the definite integral. Substitute the values of upper and lower limits to the above equation, we have 

Therefore, 

 

Definite Integral - Algebraic Functions, Powers, 2

Category: Integral Calculus, Algebra

"Published in Vacaville, California, USA"

Evaluate

Solution:

Consider the given equation above

The first thing that we have to do is to get the product of two functions, we have

Next, get the integral of the resulting equation above, we have

The constant of integration is not included in the definite integral. Substitute the values of upper and lower limits to the above equation, we have

Therefore,