AP Calculus BC Exam Review 2026: Practice Exam (30 Question Multiple Choice, No Calculator)

I solve 30 AP Calculus BC Practice Exam (Sample Exam) Problems and Solutions (Section 1, Part A: Multiple Choice, No Calculator Allowed). AP Calculus Princeton Review: https://amzn.to/2RgiKNz. AP Calculus BC Practice Exam (AP Calculus BC Review). AP Calculus BC Exam Practice Problems from Venture Publishing at: https://www.vent-pub.com/pbc102-3/ Time Stamps for the Problems are Further Below. 🔴 Differential Equations Crash Course:    • Differential Equations Crash Course: As Mu...   🔴 Numerical Integration Crash Course:    • Numerical Integration Crash Course: All Yo...   🔴 Subscribe to Bill Kinney Math: https://www.youtube.com/user/billkinn... 🔴 AP Calculus AB Exam Review:    • AP Calculus AB Exam Review 2026: Practice ...   🔴 Calculus 1 Lectures Playlist:    • Calculus 1 Course, Lecture 1: The Big Idea...   🔴 Calculus 2 Lectures Playlist:    • Calculus 2, Lecture 1, Course Structure, N...   🔴 Financial Math Lectures Playlist:    • Financial Mathematics for Actuarial Scienc...   🔴 Derivative Gateway Exam Practice:    • Derivative Gateway Exam Practice Problems ...   🔴 Integral Gateway Exam Practice:    • Integration Gateway Exam Practice Problems...   🔴 My Math Blog: https://infinityisreallybig.com/ 🔴 Follow me on Twitter:   / billkinneymath   Bethel University MN (a Christian liberal arts school) is strong in Science, Engineering, Mathematics and CS Departments: https://www.bethel.edu/ (0:00) Introduction (1:07) 1: Definite integral substitution problem (change the limits of integration). (4:53) 2: Improper integral computation as a limit. (8:46) 3: Find the speed of a particle when you know its position vector. (12:44) 4: Compute a limit with L'Hopital's Rule. (15:57) 5: Find the arc length of a curve defined by an integral (use the Second Fundamental Theorem of Calculus). (20:33) 6 (the LONG problem): Find the second derivative of y with respect to x at a point along a parametric curve. (21:15) Method 1: write y as a function of x. (25:39) Method 2: use a complicated formula involving x'(t), x''(t), y'(t), and y''(t). (28:01) Method 3: use a less complicated initial formula. (29:26) 7: Compute an improper integral as a limit and use substitution. (32:35) 8: Do a definite integral of the square root of a perfect square (use the absolute value function). (36:26) 9: Decide whether certain series are absolutely convergent or conditionally convergent. (42:24) 10: Find the volume of a solid with a certain base region whose cross sections are squares. (47:39) 11: Solve a differential equation (initial value problem) for bacteria growth to find the time when it reaches a certain population. (55:37) 12: Use the Second Fundamental Theorem of Calculus to determine the maximum value of a function defined by an integral of a piecewise linear function. (58:10) 13: Find the fourth degree Taylor polynomial of the natural log function about x = 1. (1:01:44) 14: Find the radius of convergence of a power series. (1:06:00) 15: Find the interval of convergence of a power series when you are given the radius of convergence (and the point its centered about). (1:08:11) 16: Find the height of the rectangle of maximum area inscribed under a graph. (1:12:02) 17: Do an integral using the method of partial fractions. (1:15:55) 18: Find the sum of a convergent geometric series. (1:18:28) 19: Identify the function with a given Taylor series. (1:20:43) 20: Integrate a rational function both with a substitution and, alternatively, using long division first. (1:24:40) 21: Find an equation of a tangent line to a function defined by an integral (use the Second Fundamental Theorem of Calculus). (1:27:35) 22: Find the interval on which a function is decreasing. The function has two critical points, one of which occurs where the derivative is undefined. (1:31:26) 23: Find the position of a particle when you know its acceleration, its initial velocity, and its initial position. (1:35:20) 24: Find the volume of a solid of revolution (and do an improper integral). (1:38:45) 25: Write an area swept out in polar coordinates as an integral (it is the area of a cardiod). (1:44:23) 26: Identify which of three infinite series converge. (1:45:44) 27: Use two steps of Euler's method to approximate the solution of a differential equation (initial value problem). (1:49:10) 28: Identify which of three infinite series the Ratio Test fails to give a definitive conclusion. (1:54:02) 29: Find the number of terms are necessary for the partial sum of a convergent alternating series to be within 0.01 of the sum. (1:56:30) 30: Find the total number of cars along a road when you know the density function of the cars (in cars per mile) at each point along the road. #apcalculus #apcalculusbc #calculusreview AMAZON ASSOCIATE As an Amazon Associate I earn from qualifying purchases.