Questions from General Calculus

Q: Determine the following integrals by making an appropriate substitution. ∫

Determine the following integrals by making an appropriate substitution. ∫ (sin x + cos x) / (sin x - cos x) dx

Q: Determine the following integrals by making an appropriate substitution. ∫

Determine the following integrals by making an appropriate substitution. ∫ tan x sec2 x dx

Q: Determine ∫ 2x (x2 + 5) dx by making a

Determine ∫ 2x (x2 + 5) dx by making a substitution. Then, determine the integral by multiplying out the integrand and antidifferentiating. Account for the difference in the two results.

Q: Evaluate the following integrals: ∫ x2 ex dx

Evaluate the following integrals: ∫ x2 ex dx

Q: Evaluate the following integrals: ∫ x / √(x +

Evaluate the following integrals: ∫ x / √(x + 1) dx

Q: Evaluate the following integrals: ∫ x / √(3 +

Evaluate the following integrals: ∫ x / √(3 + 2x) dx

Q: Evaluate the following integrals: ∫ e2x (1 - 3x

Evaluate the following integrals: ∫ e2x (1 - 3x) dx

Q: Evaluate the following integrals: ∫ (1 + x)

Evaluate the following integrals: ∫ (1 + x)2 e2x dx

Q: Determine the integrals by making appropriate substitutions. ∫ 2xe-

Determine the integrals by making appropriate substitutions. ∫ 2xe-x2 dx

Q: Evaluate the following integrals: ∫ 6x /e3x dx

Evaluate the following integrals: ∫ 6x /e3x dx