All AP Calculus BC Resources
Example Questions
Example Question #181 : Ap Calculus Bc
Find the area bound by the curve of g(t), the x and y axes, and the line
Possible Answers:
Correct answer:
Explanation:
Find the area bound by the curve of g(t), the x and y axes, and the line
We are asked to find the area under a curve. This sounds like a job for an integral.
We need to integrate our function from 0 to . These will be our limits of integration. With that in mind, our integral look like this.
Now, we need to recall the rules for integrating sine and cosine.
With these rules in mind, we can integrate our original function to get:
Now, we just need to evaluate our new function at the given limits. Let's start with 0
And our upper limit...
Now, we need to take the difference between our limits:
So, our answer is 2.59
All AP Calculus BC Resources
Popular Subjects
Calculus Tutors in New York City, SSAT Tutors in Atlanta, Calculus Tutors in Phoenix, Biology Tutors in Phoenix, SSAT Tutors in New York City, MCAT Tutors in Miami, French Tutors in Denver, Biology Tutors in Denver, Spanish Tutors in Washington DC, Reading Tutors in Philadelphia
Popular Courses & Classes
LSAT Courses & Classes in Atlanta, MCAT Courses & Classes in Dallas Fort Worth, SSAT Courses & Classes in Chicago, GMAT Courses & Classes in Phoenix, MCAT Courses & Classes in Seattle, ISEE Courses & Classes in New York City, LSAT Courses & Classes in Washington DC, Spanish Courses & Classes in Atlanta, GMAT Courses & Classes in Los Angeles, LSAT Courses & Classes in Chicago
Popular Test Prep
ISEE Test Prep in Denver, SSAT Test Prep in San Francisco-Bay Area, SAT Test Prep in Los Angeles, MCAT Test Prep in New York City, SAT Test Prep in Washington DC, SSAT Test Prep in Denver, MCAT Test Prep in Chicago, MCAT Test Prep in Atlanta, ISEE Test Prep in New York City, MCAT Test Prep in Boston