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Hi there, I'm Foster, a senior studying math and physics education at the University of Michigan. My favorite part about teaching is helping students understand the intuition behind what they are doing in class--because when students know the "why" about what they are doing, it helps them truly understand the material. I specialize in teaching calculus and test prep

Use the indicated entry in the Table of Integrals on the Reference Pages to evaluate the integral.

$ \displaystyle \int_0^{\frac{\pi}{2}} \cos 5x \cos 2x\ dx $ ; entry 80

$ \displaystyle \int_0^1 \sqrt{x - x^2}\ dx $ ; entry 113

$ \displaystyle \int_1^2 \sqrt{4x^2 - 3}\ dx $ ; entry 39

$ \displaystyle \int_0^1 \tan^3 \left (\frac{\pi x}{6} \right)\ dx $ ; entry 69

Use the Table of Integrals on Reference Pages 6-10 to evaluate the integral. $ \displaystyle \int_0^{\frac{\pi}{8}} \arctan 2x\ dx $

Use the Table of Integrals on Reference Pages 6-10 to evaluate the integral. $ \displaystyle \int_0^2 x^2 \sqrt{4 - x^2}\ dx $