Questions from General Calculus

Q: Evaluate the indefinite integral. f dx/ 5 – 3x

Evaluate the indefinite integral. f dx/ 5 – 3x

Q: Evaluate the indefinite integral. f sin √x/ √

Evaluate the indefinite integral. f sin √x/ √x dx

Q: Evaluate the indefinite integral. f a + bx2 / √

Evaluate the indefinite integral. f a + bx2 / √3ax + bx3 dx

Q: (a). If f (x) = 0.1

(a). If f (x) = 0.1 ex + sin x, -4 < x < 4 use a graph of f to sketch a rough graph of the antiderivative F of f that satisfies F (0) = 0. (b). Find an expression for F (x). (c). Graph F using the exp...

Q: A vertical plate is submerged (or partially submerged) in water

A vertical plate is submerged (or partially submerged) in water and has the indicated shape. Explain how to approximate the hydrostatic force against one side of the plate by a Riemann sum. Then expre...

Q: Evaluate the indefinite integral. f z2/z3 + 1

Evaluate the indefinite integral. f z2/z3 + 1 dz

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

Evaluate the indefinite integral. f ex √1 + ex dx

Q: Evaluate the integral by making the given substitution. f x3

Evaluate the integral by making the given substitution. f x3 (2 + x4)5 dx, u = 2 + x

Q: Evaluate the indefinite integral. f sec 2θ tan 2θ dθ

Evaluate the indefinite integral. f sec 2θ tan 2θ dθ

Q: Evaluate the indefinite integral. f cos x/sin2x,

Evaluate the indefinite integral. f cos x/sin2x, dx