Questions from General Calculus

Q: Evaluate the indefinite integral. f tan-1x/1

Evaluate the indefinite integral. f tan-1x/1 + x2 dx

Q: Evaluate the indefinite integral. f (x2 + 1)

Evaluate the indefinite integral. f (x2 + 1) (x3 + 3x)4 dx

Q: Evaluate the indefinite integral. f sin (ln x)/

Evaluate the indefinite integral. f sin (ln x)/x dx

Q: Evaluate the indefinite integral. f √cot x, csc2x

Evaluate the indefinite integral. f √cot x, csc2x dx

Q: Investigate the family of curves given by f (x) =

Investigate the family of curves given by f (x) = x4 + x3 + cx2 In particular you should determine the transitional value of c at which the number of critical numbers changes and the transitional valu...

Q: Evaluate the indefinite integral. f cos (π/x

Evaluate the indefinite integral. f cos (π/x)/x2 dx

Q: Find the area bounded by the loop of the curve with parametric

Find the area bounded by the loop of the curve with parametric equations x = t2, y – t3 – 3t.

Q: Evaluate the indefinite integral. f dx/√1 – x2

Evaluate the indefinite integral. f dx/√1 – x2, sin-1x

Q: Evaluate the indefinite integral. f dt/cos2t√1

Evaluate the indefinite integral. f dt/cos2t√1 + tan t

Q: Evaluate the indefinite integral. f sec3x tan x dx

Evaluate the indefinite integral. f sec3x tan x dx