# Questions in Section Calculus II

Find sum_(n=1)^N 40n/(4n^2-1)^2

Point masses of mass m1, m2, and m3are placed at the points (-2, 0), (9, 0), and (0,4). Suppose that m1 = 18.

Find m2 such that the center of mass lies on the y-axis.

Use trapezoidal rule to approximate the are of sin(x^2) from 0 to 2 using n=10.

Calculate int sqrt(1-tan^2(2x)+tan^4(2x)-tan^6(2x)+...) dx.

What is the least number of subdivisions that will guarantee, with the standard error bounds, that the result is accurate up to 4 decimal places? Consider using the midpoint method to estimate the integral int_0^0.5e^(-x^2)dx.

Find the volume of solid obtained by revolving around the y-axis the plane area between the graph y=1-x^2 and the x-axis.

Find the following integral: int(x^2)/(1+x^6)dx using substitution u=x^(3).

Use Simpson's Rule to approximate int_0^e e^(-x^2)dx with n=8.

Use the Trapezoid Rule to approximate int_0^1(dx)/sqrt(x^6+1) with n=6.

Use a table of integrals to evaluate int(dx)/(xln(x)sqrt(4+(ln(x))^2)).