Test #1 - Calc II

Compute the following

√2 -1

Compute the following

2arctan(e)-π/2

Compute the following: ∫2^x dx

2^x/ln(2) + C

Compute the following

xln(4x)-x+C

Compute the derivative

3x²√(4-x⁶)

Find the average value of the function f(x) = sin(x) over the interval [0,π/2]

2/π

Find the value x at which the function f(x) = sin(x) attains its mean value on the interval [0,π/2]

arcsin(2/π)

Consider the curves of equations: f(x)= 2x-x² and g(x)= x. Find the x- coordinates of the points of intersection of the two curves.

x=0 and x=1

Consider the curves of equations: f(x)= 2x-x² and g(x)= x. Find the area between the two curves.

1/6

Find the Net Area between the functions y=x²-4 and y=0 over the interval [-3,3]

-6