Question

What is the answer for these questions:-

1) Indefinite Integrals gcx) = (8 + 39x ^ 3) / x

2) Indefinite Integrals hcu) = sin ^2 (1/8 u)

3) Evaluate x ( 8 - 5 x ^2) dx

Thank you

Answer 1

1) What does the gcx mean?
Treat the integrand as 8/x + 39 x^2
The indefinite integral of that is
8 lnx +13 x^3

2) What does the hcu mean?
3) What are the upper and lower limits of x?