Questions from General Calculus

Q: Use Theorem I to compute the shaded area in Exercise 11.

Use Theorem I to compute the shaded area in Exercise 11. Shaded area in Exercise 11: Theorem 1:

Q: Draw the region whose area is given by the definite integral.

Draw the region whose area is given by the definite integral. 2∫4 x2 dx

Q: Draw the region whose area is given by the definite integral.

Draw the region whose area is given by the definite integral. 0∫4 (8 - 2x) dx

Q: Draw the region whose area is given by the definite integral.

Draw the region whose area is given by the definite integral. 0∫4√x dx

Q: Find the area under each of the given curves. y

Find the area under each of the given curves. y = 4x; x = 2 to x = 3

Q: Find the area under each of the given curves. y

Find the area under each of the given curves. y = 3x2; x = -1 to x = 1

Q: Determine the following: ∫ (2/x + x

Determine the following: ∫ (2/x + x/2) dx

Q: Find the area under each of the given curves. y

Find the area under each of the given curves. y = 3x2 + x + 2ex/2; x = 0 to x = 1

Q: Find the area under each of the given curves. y

Find the area under each of the given curves. y = √x; x = 0 to x = 4

Q: Find the area under each of the given curves. y

Find the area under each of the given curves. y = (x - 3)4; x = 1 to x = 4