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Properties of the Definite Integrals

For Students 11th - Higher Ed
For this math worksheet, students investigate the properties of definite integrals. Then they apply the properties and compare sets of two integrals to each other.
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Integration By Parts

For Students 11th - Higher Ed
in this math worksheet, students read the example for the product rule. Then they apply the rule individually or in groups to the following integrals.
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Basic Calculus II: Quiz 7

For Students Higher Ed
In this improper integrals worksheet, students explain the reasons each of three integrals may be considered improper. They evaluate each by determining if it converges to a number or diverges.
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Basic Calculus II: Numerical Integration

For Students Higher Ed
In this numerical integration worksheet, students approximate the value of an integral using the methods taught in the class. They use left-hand Riemann sums, right-hand Riemann sums, the midpoint method and the trapezoidal rule.
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Basic Calculus II: Fundamental Theorem of Calculus

For Students Higher Ed
In this fundamental theorem instructional activity, students find the antiderivative of a function. This two page instructional activity contains five multi-step problems.
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Basic Calculus II: Quiz 8

For Students Higher Ed
In this infinite series instructional activity, students use comparisons to determine convergence for improper integrals. They use the integral test for infinite series. Students state the reasons they believe a given integral is...
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Basic Calculus II: Techniques of Integration

For Students Higher Ed
In this differentiation worksheet, students select from a list of differentiation rules which one they have to use to find the derivative of the given equation. They evaluate one integral exactly.
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Applying the Fundamental Theorem of Calculus

For Students Higher Ed
For this fundamental theorem worksheet, students identify the anti-derivative and write equations as an explicit function. This two-page worksheet contains two multi-step problems.
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Using Riemann Sums

For Students Higher Ed
In the Riemann sums worksheet, students use Riemann sums to estimate the area under a curve. They calculate intervals and subintervals. Students create a graph picturing the intervals. This seven-page worksheet contains explanations...
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Lab 2: Euler's Method and Riemann's Sums

For Students Higher Ed
In this Euler's Method and Riemann's Sum worksheet, students identify the best situation in which to use Euler's Method and Riemann's Sum. They identify the initial value of a problem and use the accumulation formula to determine the...
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Worksheet 28 - Spring 1996

For Students 11th - Higher Ed
In this math worksheet, students examine the graph in polar coordinates of r = f(θ). Then they sketch a graph of the modified functions indicated.
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Worksheet 10

For Students 11th - Higher Ed
In this math learning exercise, students examine the concepts of upper division mathematics. They include linear operator, homogeneous, characteristic equation, fundamental solution set (solution basis), principle of superposition,...