AP Calculus BC MCQ Question with Answer

AP Calculus BC MCQ with detailed explanation for interview, entrance and competitive exams. Explanation are given for understanding.

Question No : 22
What is the integral of 2x dx?

x^2 + C

x^2

x + C

2x^2 + C

Question No : 23
What is the order of the differential equation dy/dx = 3x^2 - 2y?

First order

Second order

Third order

Fourth order

Question No : 24
What is the curl of the vector field F(x, y, z) = <2xy, x^2 - y^2, 3z^2>?

<0, 0, 0>

<0, 2z, 0>

<2, -2, 0>

<0, 0, 6z>

Question No : 25
What is the derivative of the function g(x) = e^(3x^2)?

6x * e^(3x^2)

3x^2 * e^(3x^2)

6x * e^(3x)

e^(3x)

Question No : 26
Which statement is true about the continuity of a function at a point?

The function must be differentiable at that point.

The function must have a removable discontinuity at that point.

The function must have a jump discontinuity at that point.

The function must have the same limit from the left and right at that point.

Question No : 27
What is the Maclaurin series expansion of sin(x)?

x - (x^3)/3! + (x^5)/5! - (x^7)/7! + ...

x + (x^3)/3! + (x^5)/5! + (x^7)/7! + ...

1 - x + (x^2)/2 - (x^3)/3 + ...

e^x

Question No : 28
Which of the following is a method for approximating definite integrals using rectangles?

Trapezoidal Rule

Simpson's Rule

Fundamental Theorem of Calculus

L'H�pital's Rule