# Lernkarten

Karten 11 Karten 6 Lernende English Andere 24.08.2020 / 31.10.2020
0 Exakte Antworten 11 Text Antworten 0 Multiple Choice Antworten

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Integration rules 1

Integration rules 2

Explain the integration by parts and solve the examples below:

1) What is ∫x cos(x) dx

2) ∫ln(x)/x2 dx

3) ln(x) dx

4) ex x dx

5) ex sin(x) dx

Explain Integration by Substitution and solve the examples below:

1) ∫cos(x2) 2x dx

2) ∫cos(x2) 6x dx

3) ∫x/(x2+1) dx

4) ∫(x+1)3 dx

5) ∫(5x+2)7 dx

Derivative rules 1

Derivative rules 2

Derivatives: Chain rule

Additional explanation of the composition of funcitons:

https://www.mathsisfun.com/sets/functions-composition.html

Derivative examples:

1) what is the derivative of sin(x)

5) What is the derivative of x2+x?

8) What is the derivative of cos(x)sin(x) ?

9) What is the derivative of cos(x)/x ?

11) What is ddxsin(x2) ?

12) What is ddxsin(x2) ?

13)

14)

15)

Integration examples:

1) what is the integral of sin(x) ?

2) what is the integral of 1/x ?

3) What is x3 dx ?

4) What is √x dx ?

5) What is √x dx ?

6) What is 6x2 dx ?

7) What is cos x + x dx ?

8) What is ew − 3 dw ?

9) What is ∫8z + 4z3 − 6z2 dz ?

Explonentiation rules 1

Rules for logarithms 1