Questions from General Calculus

Q: Evaluate the integral by making the given substitution. f x2

Evaluate the integral by making the given substitution. f x2 √x3 + 1 dx, u = x3 + 1

Q: Evaluate the indefinite integral. f x2 √2 + x

Evaluate the indefinite integral. f x2 √2 + x dx

Q: Evaluate the indefinite integral. f x(2x + 5

Evaluate the indefinite integral. f x(2x + 5)8 dx

Q: Evaluate the indefinite integral. f ex/ex + 1

Evaluate the indefinite integral. f ex/ex + 1, dx

Q: Evaluate the indefinite integral. f sin2x/1 + cos2x

Evaluate the indefinite integral. f sin2x/1 + cos2x dx

Q: A rectangular beam will be cut from a cylindrical log of radius

A rectangular beam will be cut from a cylindrical log of radius 10 inches. (a). Show that the beam of maximal cross-sectional area is a square. (b). Four rectangular planks will be cut from the four...

Q: Evaluate the indefinite integral. f sin x/1 +

Evaluate the indefinite integral. f sin x/1 + cos2x dx

Q: Evaluate the indefinite integral. f 1 + x/1

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

Q: Suppose you make napkin rings by drilling holes with different diameters through

Suppose you make napkin rings by drilling holes with different diameters through two wooden balls (which also have different diameters). You discover that both napkin rings have the same height h, as...

Q: Evaluate the indefinite integral. f x/1 + x4

Evaluate the indefinite integral. f x/1 + x4 dx