Questions from General Calculus

Q: Find an antiderivative of f (x), call it F (

Find an antiderivative of f (x), call it F (x), and compare the graphs of F (x) and f (x) in the given window to check that the expression for F (x) is reasonable. [That is, determine whether the two...

Q: Find an antiderivative of f (x), call it F (

Find an antiderivative of f (x), call it F (x), and compare the graphs of F (x) and f (x) in the given window to check that the expression for F (x) is reasonable. [That is, determine whether the two...

Q: Plot the graph of the solution of the differential equation y =

Plot the graph of the solution of the differential equation y = e-x2, y(0) = 0. Observe that the graph approaches the value √π/2 ≈ .9 as x increases.

Q: Evaluate the given integral. 1∫9 1/√x

Evaluate the given integral. 1∫9 1/√x dx

Q: Determine the following: ∫4x3 dx

Determine the following: ∫4x3 dx

Q: Evaluate the given integral. 1∫2 -3/

Evaluate the given integral. 1∫2 -3/x2 dx

Q: Evaluate the given integral. 1∫8 (-x +

Evaluate the given integral. 1∫8 (-x + 3√x) dx

Q: Evaluate the given integral. 1∫2 (5 -

Evaluate the given integral. 1∫2 (5 - 2x3)/x6 dx

Q: Evaluate the given integral. 1∫4 (x2 -

Evaluate the given integral. 1∫4 (x2 - √x)/x dx

Q: Evaluate the given integral. -1∫0 (3e3t

Evaluate the given integral. -1∫0 (3e3t + t) dt