Each of Exercises 25–36 gives a formula for a function y=f(x). In each case, find f^(-1)(x) and identify the domain and range of f^(-1). As a check, show that f(f^(-1)(x))=f^(-1)(f(x))=x.
f(x) = x⁵

Solve the differential equation in Exercises 9–22.

10. (dy/dx) = x²√y, y > 0

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))

Finding Antiderivatives

In Exercises 1–16, find an antiderivative for each function. Do as many as you can mentally. Check your answers by differentiation.

(-3/2)csc²x(3x/2)