Find the values in Exercises 9–12.
9. sin(arccos((√2)/2))

Verify the integration formulas in Exercises 111–114.

113. ∫ (arcsin x)² dx = x(arcsin x)² - 2x + 2 √(1 - x²) arcsin x + C

In Exercises 13–24, find the derivative of y with respect to the appropriate variable.

17. y = ln(sinh z)

Evaluate the integrals in Exercises 97–110.

99. ∫₀³ (√2 + 1)x^(√2) dx

In Exercises 21–48, find the derivative of y with respect to the appropriate variable.

39. y=arctan√(x²-1) + arccsc(x), x>1

86. Use a derivative to show that g(x)=√(x² + ln x) is one-to-one.

Rewrite the expressions in Exercises 5–10 in terms of exponentials and simplify the results as much as you can.

6. sinh(2ln x)