Questions from General Calculus

Q: Refer to Example 3. If labor costs $100 per unit

Refer to Example 3. If labor costs $100 per unit and capital costs $200 per unit, express as a function of two variables, C(x, y), the cost of utilizing x units of labor and y units of capital.

Q: Determine the integrals by making appropriate substitutions. ∫ 2x(

Determine the integrals by making appropriate substitutions. ∫ 2x(x2 + 4)5 dx

Q: Determine the integrals by making appropriate substitutions. ∫ (x3

Determine the integrals by making appropriate substitutions. ∫ (x3 - 6x)7 (x2 - 2) dx

Q: Evaluate the following definite integrals. ∫-1 2 (x2

Evaluate the following definite integrals. ∫-1 2 (x2 – 1) (x3 - 3x)4 dx

Q: Evaluate the following definite integrals. ∫0 1 (2x

Evaluate the following definite integrals. ∫0 1 (2x - 1) (x2 - x)10 dx

Q: Evaluate the following definite integrals. ∫0 1 x /

Evaluate the following definite integrals. ∫0 1 x / (x2 + 3) dx

Q: Evaluate the following definite integrals. ∫0 4 8x (

Evaluate the following definite integrals. ∫0 4 8x (x + 4)-3 dx

Q: Evaluate the following definite integrals. ∫1 3 x2ex3 dx

Evaluate the following definite integrals. ∫1 3 x2ex3 dx

Q: Evaluate the following definite integrals. ∫-1 12xex dx

Evaluate the following definite integrals. ∫-1 12xex dx

Q: Evaluate the following definite integrals. ∫1 e ln x

Evaluate the following definite integrals. ∫1 e ln x / x dx