U = sinx
dU = cosx dx

$U\left ( \frac{\pi }{4} \right )=\text{ lower bound}$

U(0) = upper bound

Assemble the integral and then solve.

U = sinx
dU = cosx dx

Before you integrate, rewrite the integrand.

$= \int 3x^{2}-4-\frac{11}{x}+\frac{6}{x^{2}}dx=$

sec⁻¹x + C (this is a special case)

$\frac{d}{dx}\left ( \frac{1}{x} \right )=\text{ln}x$

You could use U-Substitution.
Or you could expand the integrand and evaluate.