Questions from General Calculus

Q: Describe integration by parts in your own words.

Describe integration by parts in your own words.

Q: Describe the change of limits rule for the integration by substitution of

Describe the change of limits rule for the integration by substitution of a definite integral.

Q: Determine the following indefinite integrals: ∫ (ln x)

Determine the following indefinite integrals: ∫ (ln x)5/x dx

Q: Determine the following indefinite integrals: ∫ (ln x)

Determine the following indefinite integrals: ∫ (ln x)2/x dx

Q: Determine the following indefinite integrals: ∫ 1/√(4x +

Determine the following indefinite integrals: ∫ 1/√(4x + 3) dx

Q: Determine the following indefinite integrals: ∫ x √(4 -

Determine the following indefinite integrals: ∫ x √(4 - x2) dx

Q: Determine the following indefinite integrals: ∫ x sin 3x dx

Determine the following indefinite integrals: ∫ x sin 3x dx

Q: Determine the integrals by making appropriate substitutions. ∫ 8x/

Determine the integrals by making appropriate substitutions. ∫ 8x/ ex2 dx

Q: Determine the following indefinite integrals: ∫ x2 e-x3

Determine the following indefinite integrals: ∫ x2 e-x3 dx

Q: Determine the following indefinite integrals: ∫ x ln(x2

Determine the following indefinite integrals: ∫ x ln(x2 + 1) /( x2 + 1) dx