Standard 5 : Apply integrals to solve problems.



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General Information

Number: MA.912.C.5
Title: Apply integrals to solve problems.
Type: Standard
Subject: Mathematics (B.E.S.T.)
Grade: 912
Strand: Calculus

Related Benchmarks

This cluster includes the following benchmarks
Code Description
MA.912.C.5.1: Find specific antiderivatives using initial conditions, including finding velocity functions from acceleration functions, finding position functions from velocity functions and solving applications related to motion along a line.
MA.912.C.5.2: Solve separable differential equations.
MA.912.C.5.3: Solve differential equations of the form begin mathsize 12px style fraction numerator d y over denominator d t end fraction equals k y end style as applied to growth and decay problems.
MA.912.C.5.4: Display a graphic representation of the solution to a differential equation by using slope fields, and locate particular solutions to the equation.
MA.912.C.5.5: Find the area between a curve and the x-axis or between two curves by using definite integrals.
MA.912.C.5.6: Find the average value of a function over a closed interval by using definite integrals.
MA.912.C.5.7: Find the volume of a figure with known cross-sectional area, including figures of revolution, by using definite integrals.


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