M - Pure 1 - 13) Integration

Question 1

Way to integrate and the integral of every power of x and constants

Answer 1

• Add one to the power, divide by the new power, add + c
• ax^n≥2 → [a/n+1]xⁿ⁺¹
• bx → [b/2]x²
• c → cx

Question 2

Method to find the constant of integration

Answer 2

1. Integrate the function
2. Substitute the values (x, y) of a point on the curve into the integrated function
3. Solve the equation to find c

Question 3

Equation for definite integration

Answer 3

∫^b_af’(x)·dx = [f(x)]^b_a = f(b) − f(a)