Derivatives and Integrals

BrightestChrysanthemum
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8 Questions

Integration

Antiderivative

What does the definite integral represent?

Area under the curve

Which rule allows for the integration of a product of two functions?

Integration by parts

ln|x| + C

0

1

1

Study Notes

Integration

• The process of finding the integral of a function is called integration.
• The result of an indefinite integral is also known as the antiderivative.

Definite Integral

• The definite integral represents the area between the graph of a function and the x-axis over a specific interval.

Integration Rules

• The product rule allows for the integration of a product of two functions.

Integration of Specific Functions

• The result of the indefinite integral of 1/x is the natural logarithm.
• The definite integral of sin(x) from 0 to π is 2.
• The definite integral of tan(x) from π/4 to π/2 is 1.
• The definite integral of sec(x) from 0 to π/2 is 1.

Test your knowledge of derivatives and integrals with this quiz, covering various anti-derivative formulas and integral calculations for different functions.

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