Evaluate the integrals in Exercises 77–90.
79. ∫(from -1 to 0)6dt/√(3-2t-t²)

Solve the initial value problems in Exercises 115–120.

117. dy/dx = 1/(x√(x² - 1)), x > 1; y(2) = π

Use l’Hôpital’s rule to find the limits in Exercises 7–52.

24. lim (x → π/2) (ln(csc x)) / (x - (π/2))²

In Exercises 7–26, find the derivative of y with respect to x, t, or θ, as appropriate.

y = xe^x-e^x

Evaluate the integrals in Exercises 53–76.

75. ∫y dy/√(1-y^4)

Evaluate the integrals in Exercises 91–102.

96. ∫dy/((arcsin y)(1-y²))

22. The function ln x grows slower than any polynomial Show that ln(x) grows slower as x→∞ than any nonconstant polynomial.