# Integrals & the Area Under the Curve Flashcards

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*x*= 0 to

*x*= 5, find the value of the right-hand Riemann sum for the integral shown.

*y*= 2

*x*from

*x*= 0 to

*x*= 5 using left Riemann sums. Use a delta

*x*of 1.

*x*= 0 to

*x*= 5, we get 0+2+4+6+8, which equals 20.

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## Flashcard Content Overview

This flashcard set will help you with solving integral problems that you may encounter in your calculus class. Cards in this set include flashcards on Riemann sums, the trapezoid rule, optimization problems, and definite and indefinite integrals. Use this set to prep for your next calculus test or to simply brush up on these concepts.

*y*= 2

*x*from

*x*= 0 to

*x*= 5 using left Riemann sums. Use a delta

*x*of 1.

*x*= 0 to

*x*= 5, we get 0+2+4+6+8, which equals 20.

*x*= 0 to

*x*= 5, find the value of the right-hand Riemann sum for the integral shown.

*m*is not equal to -1:

*y*if

*y*' = 4

*x*and

*y*(0) = 4

*y*= 2

*x*2 + 4

*a*+ 5

*b*

*g*(0) +

*g*'(0) +

*g*''(0)

The solution is -3.

Using the fundamental theorem of calculus, *g*(*x*) = (1/2)*x*2 - 4

*g*(0) = -4, *g*'(0) = 0, *g*''(0) = 1

*f*(

*x*) is continuous from

*a*to

*b*, then:

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Math 104: Calculus16 chapters | 135 lessons | 11 flashcard sets

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- Geometry & Trigonometry Flashcards
- Limits in Calculus Flashcards
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- Solving Derivatives Flashcards
- Graphing Derivatives & L'Hopital's Rule Flashcards
- Applications of Derivatives Flashcards
- Integrals & the Area Under the Curve Flashcards
- Differential Equations Flashcards
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