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Integrals of powers with rational exponent

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Subject

Mathematics

Grade

Upper Secondary

Publisher

yTeach Publisher

Resource types

Whiteboard presentation

Teaching type

Teaching object

Usage

Teaching resource



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Description At the end of this activity, students should be able to:
– understand and be able to use anti-derivatives and integrals
– be able to use simple laws of integration
– be able to calculate the indefinite integral of a polynomial.
Partner resource
Integrals of powers with rational exponent [Class activity]
Consists of...
Finding the derivatives [Whiteboard exercise]
Finding the anti-derivatives [Whiteboard exercise]
Finding the anti-derivatives [Whiteboard exercise]
Integration as an inverse of differentiation [Animation]
Negative integer exponents [Whiteboard exercise]
The general rule for integer exponents [Whiteboard exercise]
The general rule for integer exponents [Whiteboard exercise]
Integrating powers of  x  with negative integer exponent [Whiteboard exercise]
Integrating powers of  x  with negative integer exponent [Whiteboard exercise]
An anti-derivative of the power of  x [Animation]
Integrating fractional powers of  x [Whiteboard exercise]
Integrating fractional powers of  x [Whiteboard exercise]
Negative fractional exponents [Whiteboard exercise]
Integrating negative fractional powers of  x [Animation]
Negative fractional exponents [Whiteboard exercise]
The integration rule [Simulation]
Integrating rational powers of  x [Whiteboard exercise]
Integrating rational powers of  x [Whiteboard exercise]
Integrating rational powers of  x [Whiteboard exercise]
Relevant to...
Copyright YDP SA
Keywords

general, positive, negative, integral, fractional, rule, exponent, rational, powers, integrals, Integrals of powers with rational exponent

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