Maths

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) ∫e^x x dx

5) ∫e^x 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

Derivative examples:

1) what is the derivative of sin(x)

5) What is the derivative of x²+x³ ?

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) ?

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