Answer:
Step-by-step explanation:
we would like to integrate the following indefinite integral:
in order to integrate it we can consider using u-substitution also known as the reverse chain rule and integration by substitution as well
we know that we can use u-substitution if the integral is in the following form
since our Integral is very close to the form we can use it
let our u and du be 4x³+9 and 12x²dx so that we can transform the Integral
as we don't have 12x² we need a little bit rearrangement
multiply both Integral and integrand by 1/12 and 12:
apply substitution:
recall Integration rule:
back-substitute:
finally we of course have to add constant of integration:
and we are done!