1. Aim: Integrate Inverse Trig Functions Course: Calculus Do Now: Aim: How do we integrate Inverse Trig functions? Complete the square, express as the sum of two squares: x 2 + 4x + 7

2. Aim: Integrate Inverse Trig Functions Course: Calculus Differentiation Pairs & Integration Integration will only require one formula for each pair.

3. Aim: Integrate Inverse Trig Functions Course: Calculus Integrals of Inverse Trig Functions

4. Aim: Integrate Inverse Trig Functions Course: Calculus Model Problems u = x 2

5. Aim: Integrate Inverse Trig Functions Course: Calculus Model Problems u = 3x u = 2x du = 2dx du = 3dx

6. Aim: Integrate Inverse Trig Functions Course: Calculus Model Problem – Not Quite u = e x du = e x dx dx = du/e x rewrite substitute = du/u substitute/rewrite and back-substitute

7. Aim: Integrate Inverse Trig Functions Course: Calculus Model Problem Denominator is 1 term: split integrand

8. Aim: Integrate Inverse Trig Functions Course: Calculus Completing the Square sometimes: when quad functions in integrand u 2 + a 2

9. Aim: Integrate Inverse Trig Functions Course: Calculus Model Problem a = 3/2 u = x - 3/2 Complete the square

10. Aim: Integrate Inverse Trig Functions Course: Calculus Model Problem a = 3/2; u = x - 3/2