Finding Extrema from Graphs
In Exercises 7–10, find the absolute extreme values and where they occur.

Finding Extrema from Graphs
In Exercises 7–10, find the absolute extreme values and where they occur.
Finding Indefinite Integrals
In Exercises 17–56, find the most general antiderivative or indefinite integral. You may need to try a solution and then adjust your guess. Check your answers by differentiation.
∫(1 − cot²x) dx
Finding Indefinite Integrals
In Exercises 17–56, find the most general antiderivative or indefinite integral. You may need to try a solution and then adjust your guess. Check your answers by differentiation.
∫x⁻¹ᐟ³ dx
Finding Indefinite Integrals
In Exercises 17–56, find the most general antiderivative or indefinite integral. You may need to try a solution and then adjust your guess. Check your answers by differentiation.
∫(1 + tan²θ)dθ (Hint:1 + tan²θ = sec²θ)
Finding Indefinite Integrals
In Exercises 17–56, find the most general antiderivative or indefinite integral. You may need to try a solution and then adjust your guess. Check your answers by differentiation.
∫(t√t + √t) / t² dt
Initial Value Problems
Solve the initial value problems in Exercises 71–90.
dy/dx = 1/x² + x, x > 0; y(2) = 1