5.1 Integration

Use calculus to work out the following integrals:

Find the equation of the curve passing through the point (-2, 3) and given by

Show that

Hence, or otherwise, work out

A function, has second derivative given by

Given that and find 

Given find

Find the equation of the curve passing through the point (4, 64) and given by

Show that 

Hence, or otherwise, work out

Given and that when  show that

Find an equation for in terms of , given that when

Use calculus to work out the following integrals:

Find the equation of the curve passing through the point (4, -8) and given by

Show that

Hence, or otherwise, work out

A function, has second derivative given by

Given that and are factors of find