Definite Integral - Algebraic Functions, Powers, 10

Category: Integral Calculus, Algebra

"Published in Newark, California, USA"

Evaluate

Solution:

Consider the given equation above

The first thing that we have to do is to integrate the given 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,

 

Definite Integral - Algebraic Functions, Powers, 9

Category: Integral Calculus, Algebra

"Published in Newark, 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, 8

Category: Integral Calculus, Algebra

"Published in Vacaville, California, USA"

Evaluate

Solution:

Consider the given equation above

Since the denominator consists of only one term, then we can rewrite the above equation as follows

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,