Questions from General Calculus

Q: Evaluate the following integrals. ∫-π π (cos 3x

Evaluate the following integrals. ∫-π π (cos 3x + 2 sin 7x) dx

Q: Evaluate the following integrals. ∫ sec2 x/2 dx

Evaluate the following integrals. ∫ sec2 x/2 dx

Q: Evaluate the following integrals. ∫ 2 sec2 2x dx

Evaluate the following integrals. ∫ 2 sec2 2x dx

Q: In Fig. 2: Find the shaded area A1.

In Fig. 2: Find the shaded area A1. Figure 2:

Q: In Fig. 2: Find the shaded area A2.

In Fig. 2: Find the shaded area A2. Figure 2:

Q: In Fig. 2: Find the shaded area A3.

In Fig. 2: Find the shaded area A3. Figure 2:

Q: Let f (x, y, z) = zex/

Let f (x, y, z) = zex/y. Find ∂f/∂x, ∂f/∂y, and ∂f/∂z.

Q: In Fig. 2: Find the shaded area A4.

In Fig. 2: Find the shaded area A4. Figure 2:

Q: Find the average of the function f (t) over the

Find the average of the function f (t) over the given interval. f (t) = 1 + sin 2t – 1/3 cos 2t, 0 ≤ t ≤ 2π

Q: Find the average of the function f (t) over the

Find the average of the function f (t) over the given interval. f (t) = t - cos 2t, 0 ≤ t ≤ π