Integration

Question 1

∫ ln(x)dx

Answer 1

x ∙ (ln(x) - x) +C

Question 2

When you see the format “a²-x²” what substitution should you make

Answer 2

x=asinØ

Question 3

When you see the form “a²+x²” what substitution should you make

Answer 3

x=atanØ

Question 4

Formula for integration by parts: ∫u v dx =

Answer 4

u∫v dx −∫u’ (∫v dx) dx