Name ______________________Date ____________Score ____ / 12
Riemann sums and the trapezoidal rule practice
Riemann sums and the trapezoidal rule · 1–12
Approximate the area under the curve.
1.Approximate the area under f(x) = 2x2 + 3 from x = 1 to x = 9 with 4 strips, using a left Riemann sum.
2.Approximate the area under f(x) = 2x2 + 5 from x = 1 to x = 7 with 3 strips, using a left Riemann sum.
3.Approximate the area under f(x) = 3x2 + 2 from x = 0 to x = 3 with 3 strips, using a right Riemann sum.
4.Approximate the area under f(x) = 2x2 + 6 from x = 1 to x = 5 with 4 strips, using a right Riemann sum.
5.Approximate the area under f(x) = x2 + 1 from x = 0 to x = 5 with 5 strips, using a left Riemann sum.
6.Approximate the area under f(x) = x2 + 4 from x = 0 to x = 6 with 3 strips, using a left Riemann sum.
7.Approximate the area under f(x) = 2x2 + 3 from x = 1 to x = 7 with 3 strips, using a right Riemann sum.
8.Approximate the area under f(x) = 2x2 + 4 from x = 0 to x = 4 with 4 strips, using a right Riemann sum.
9.Approximate the area under f(x) = 2x2 + 2 from x = 1 to x = 11 with 5 strips, using a right Riemann sum.
10.Approximate the area under f(x) = x2 + 6 from x = 2 to x = 5 with 3 strips, using a right Riemann sum.
11.Approximate the area under f(x) = x2 from x = 0 to x = 8 with 4 strips, using a right Riemann sum.
12.Approximate the area under f(x) = 3x2 + 3 from x = 0 to x = 3 with 3 strips, using a right Riemann sum.
Answer key — Riemann sums and the trapezoidal rule practice
Riemann sums and the trapezoidal rule
mathsheetstudio.commathsheetstudio.commathsheetstudio.commathsheetstudio.commathsheetstudio.commathsheetstudio.commathsheetstudio.commathsheetstudio.com