Definite Integral - Algebraic Functions, Powers, 7

Category: Integral Calculus, Algebra

"Published in Vacaville, California, USA"

Evaluate

Solution:

Consider the given equation above

The first 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, 6

Category: Integral Calculus, Algebra

"Published in Vacaville, California, USA"

Evaluate

Solution:

Consider the given equation above

The first 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, 5

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 and then apply the distributive property of multiplication over addition, 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,