Maths with Lemon

Integration

What you have to know:

The derivatives of all known functions.
(If not, check this lesson.)
Recognize all the basic functions.
You must be able to manipulate exponential expressions.
(If not, check this lesson.)
You must be able to manipulate logarithmic expressions.
(If not, check this lesson.)

Antidifferentiation / Integration

1. Watch the video:

2. Check out this presentation .
3. How to find the constant \(c\). Check the example .

Integration by Substitution

What you have to know:

The derivatives of all known functions.
(If not, check this lesson.)

1. Watch the video:

2. Integrals by substitution with logarithms – watch the video.
3. Integrals by substitution with polynomial functions – watch the video .

Definite Integrals

What you have to know:

The derivatives of all known functions.
(If not, check this lesson.)
Recognize all the basic functions.
You must be able to manipulate exponential expressions.
(If not, check this lesson.)
You must be able to manipulate logarithmic expressions.
(If not, check this lesson.)

Key Points

1. Watch the video:

2. Watch this special case of definite integrals .

Areas and Integrals

What you have to know:

The derivatives of all known functions.
(If not, check this lesson.)
Recognize all the basic functions.
You must be able to manipulate exponential expressions.
(If not, check this lesson.)
You must be able to manipulate logarithmic expressions.
(If not, check this lesson.)

Key Points

1. Watch the video:

2. Watch this video to find areas using a calculator .
3. Watch this additional video .

IB Past Paper Problems

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