Josephood7

What is the correct form of the partial fraction decomposition for the following integral? [math]

 A. [math]
 B. [math]
 C. [math]
 D. There is no partial fraction decomposition because the denominator does not factor.
 E. There is no partial fraction decomposition yet because there is cancellation.
 F. There is no partial fraction decomposition yet because long division must be done first.
 G. [math]
 H. [math]

 

Evaluate the integral [math]

Note: Use an upper-case "C" for the constant of integration.

 

Evaluate the integral [math] for the cases where [math] and where [math]

Note: For the case where [math] use only [math] in your answer. Also, use an upper-case "C" for the constant of integration.

If [math] 

If [math] 

 

Evaluate the integral [math]

Note: Use an upper-case "C" for the constant of integration.

Evaluate the integral [math]

Note: Use an upper-case "C" for the constant of integration.

Make a substitution to express the integrand as a rational function and then evaluate the integral [math]

Note: Use an upper-case "C" for the constant of integration.

 

If [math] is a quadratic function such that [math] and [math] is a rational function, find the value of [math]