Core 4 Unit 2

Question 1

What is the formula for integration by parts of ∫u dv/dx dx

Answer 1

uv - ∫v du/dx dx

Question 2

What is ∫f’(x)/f(x)

Answer 2

ln|f(x)| +k

Question 3

How to do integration by substitution?

Answer 3

Find a suitable substitution of u=.
Find du/dx to sbustitute dx for du.
Find new limits for integral.
Make sure no x’s are left.