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# 2015 AP Calculus BC 2a

x coordinate of particle at a certain time.

## Want to join the conversation?

• Is possible to solve these types of integrals without a calculator?
• If you mean the integral of cos(t^2), no. It cannot be calculated by hand.
• So I understand the lesson, but tried doing it another way initially by integrating cos(t^2) and solving for c before plugging back t=2. However, I got a different answer (2.39006) when doing this. Am I doing something wrong, or does this method not work?
• why did Sal have to add the integral of cos(x^2) in order to solve part a?
• That is the velocity function of the x coordinate of the particle. We have the initial x position as 3, so we add the integral of the x coordinate velocity function with bounds 1 and 2, which gives us the distance the x coordinate has moved from t = 1 to t = 2.
• Are these problems calculator or non-calculator?
• Problems 1 and 2 on the Calculus AB and BC test are calculator, and 3-6 are non-calculator.