Questions from General Calculus

Q: Evaluate the following improper integrals whenever they are convergent. ∫

Evaluate the following improper integrals whenever they are convergent. ∫1 ∞ 2/ x3/2 dx

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

Determine the integrals by making appropriate substitutions. ∫ x-2 (1/x + 2)5 dx

Q: Evaluate the following improper integrals whenever they are convergent. ∫

Evaluate the following improper integrals whenever they are convergent. ∫0 1 1/ (2x + 3)2 dx

Q: Evaluate the following improper integrals whenever they are convergent. ∫

Evaluate the following improper integrals whenever they are convergent. ∫0 ∞ e-3x dx

Q: Evaluate the following improper integrals whenever they are convergent. ∫

Evaluate the following improper integrals whenever they are convergent. ∫1 ∞ e2x dx

Q: Evaluate the following improper integrals whenever they are convergent. ∫

Evaluate the following improper integrals whenever they are convergent. ∫0 ∞ (x2 + 1) dx

Q: Evaluate the following improper integrals whenever they are convergent. ∫

Evaluate the following improper integrals whenever they are convergent. ∫2 ∞ 1/(x - 1)5/2 dx

Q: Evaluate the following improper integrals whenever they are convergent. ∫

Evaluate the following improper integrals whenever they are convergent. ∫2 ∞ e2-x dx

Q: Evaluate the following improper integrals whenever they are convergent. ∫

Evaluate the following improper integrals whenever they are convergent. ∫0 ∞.01e- 0.01x dx

Q: Evaluate the following improper integrals whenever they are convergent. ∫

Evaluate the following improper integrals whenever they are convergent. ∫0 ∞ 4/(2x + 1)3 dx