Questions from General Calculus

Q: Evaluate the definite integral. f√π0 x cos (

Evaluate the definite integral. f√π0 x cos (x2) dx

Q: A swimming pool is 20 ft wide and 40 ft long and

A swimming pool is 20 ft wide and 40 ft long and its bottom is an inclined plane, the shallow end having a depth of 3 ft and the deep end, 9 ft. If the pool is full of water, estimate the hydrostatic...

Q: Evaluate the definite integral. f10 x2 (1 + 2x3

Evaluate the definite integral. f10 x2 (1 + 2x3)5 dx

Q: Evaluate the definite integral. f1/21/6 csc

Evaluate the definite integral. f1/21/6 csc πt cot πt dt

Q: Evaluate the definite integral. F41 e√x/√x

Evaluate the definite integral. F41 e√x/√x dx

Q: Evaluate the integral by making the given substitution. f cos3θ

Evaluate the integral by making the given substitution. f cos3θ sin θ d θ, u = cos θ

Q: Evaluate the integral by making the given substitution. f sec2

Evaluate the integral by making the given substitution. f sec2(1/x)/x2 dx, u = 1/x

Q: Evaluate the indefinite integral. f x sin (x2)

Evaluate the indefinite integral. f x sin (x2) dx

Q: The Fresnel function S (x) = fx0sin (1/

The Fresnel function S (x) = fx0sin (1/2Ï€t2) dt was introduced in Section 5.4. Fresnel also used the function in his theory of the diffraction of light waves. (a). On what intervals C is...

Q: Evaluate the indefinite integral. f x2 (x3 + 5

Evaluate the indefinite integral. f x2 (x3 + 5)9 dx