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Goblins covers math from Grade 5 through AP Calculus, including thousands of standards-aligned topics. Teachers can also upload their own content for custom assignments at any level.

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MA.912.C.4

Develop an understanding for and determine integrals.

MA.912.C.4.1Interpret a definite integral as a limit of Riemann sums. Calculate the values of Riemann sums over equal subdivisions using left, right and midpoint evaluation points.MA.912.C.4.2Apply Riemann sums, the Trapezoidal Rule and technology to approximate definite integrals of functions represented algebraically, geometrically and by tables of values.MA.912.C.4.3Interpret a definite integral of the rate of change of a quantity over an interval as the change of the quantity over the interval.MA.912.C.4.4Evaluate definite integrals by using the Fundamental Theorem of Calculus.MA.912.C.4.5Analyze function graphs by using derivative graphs and the Fundamental Theorem of Calculus.MA.912.C.4.6Evaluate or solve problems using the properties of definite integrals. Properties are limited to the following:MA.912.C.4.7Evaluate definite and indefinite integrals by using integration by substitution.

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