Questions from General Calculus

Q: Approximate the following integrals by the midpoint rule; then, find

Approximate the following integrals by the midpoint rule; then, find the exact value by integration. Express your answers to five decimal places. ∫1 5 (x - 1)2 dx; n = 2, 4

Q: Approximate the following integrals by the midpoint rule; then, find

Approximate the following integrals by the midpoint rule; then, find the exact value by integration. Express your answers to five decimal places. ∫0 1 e-x dx; n = 5

Q: Approximate the following integrals by the midpoint rule; then, find

Approximate the following integrals by the midpoint rule; then, find the exact value by integration. Express your answers to five decimal places. ∫1 2 1/(x + 1) dx; n = 5

Q: Approximate the following integrals by the trapezoidal rule; then, find

Approximate the following integrals by the trapezoidal rule; then, find the exact value by integration. Express your answers to five decimal places. ∫0 1 (x – ½)2 dx; n = 4

Q: Approximate the following integrals by the trapezoidal rule; then, find

Approximate the following integrals by the trapezoidal rule; then, find the exact value by integration. Express your answers to five decimal places. ∫4 9 1 / (x – 3) dx; n = 5

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

Determine the integrals by making appropriate substitutions. ∫ ln(2x)/x dx

Q: Approximate the following integrals by the trapezoidal rule; then, find

Approximate the following integrals by the trapezoidal rule; then, find the exact value by integration. Express your answers to five decimal places. ∫1 5 1/x2 dx; n = 3

Q: Approximate the following integrals by the trapezoidal rule; then, find

Approximate the following integrals by the trapezoidal rule; then, find the exact value by integration. Express your answers to five decimal places. ∫- 1 e2x dx; n = 2, 4

Q: Approximate the following integrals by the midpoint rule, the trapezoidal rule

Approximate the following integrals by the midpoint rule, the trapezoidal rule, and Simpson’s rule. Then, find the exact value by integration. Express your answers to five decimal places. ∫1 4 (2x - 3...

Q: Approximate the following integrals by the midpoint rule, the trapezoidal rule

Approximate the following integrals by the midpoint rule, the trapezoidal rule, and Simpson’s rule. Then, find the exact value by integration. Express your answers to five decimal places. ∫10 20 ln x...