Questions from General Calculus

Q: Find the general indefinite integral. f (1 – t

Find the general indefinite integral. f (1 – t) (2 + t2) dt

Q: Find the general indefinite integral. f v (v2 +

Find the general indefinite integral. f v (v2 + 2)2 dv

Q: Find the general indefinite integral. f (1 + tan2a

Find the general indefinite integral. f (1 + tan2a) da

Q: Find the general indefinite integral. f sec t (sec

Find the general indefinite integral. f sec t (sec t + tan t) dt

Q: The curves with equations xn + yn = 1, n =

The curves with equations xn + yn = 1, n = 4, 6, 8, . . . , are called fat circles. Graph the curves with n = 2, 4, 6, 8, and 10 to see why. Set up an integral for the length L2k of the fat circle wit...

Q: Find the general indefinite integral. f sin x/1

Find the general indefinite integral. f sin x/1 – sin 2x, dx

Q: Find the general indefinite integral. f sin 2x/sin

Find the general indefinite integral. f sin 2x/sin x, dx

Q: The area of the region that lies to the right of the

The area of the region that lies to the right of the -axis and to the left of the parabola x = 2y – y2 (the shaded region in the figure) is given by the integral f02(2y â€...

Q: Sketch the area represented by g (x). Then find g'

Sketch the area represented by g (x). Then find g'(x) in two ways: (a) by using Part 1 of the Fundamental Theorem and (b) by evaluating the integral using Part 2 and then differentiating.

Q: Estimate the errors involved in Exercise 47, parts (a)

Estimate the errors involved in Exercise 47, parts (a) and (b). How large should n be in each case to guarantee an error of less than 0.00001? Exercise 47: Use (a) the Trapezoidal Rule, (b) the Midp...