SIMPLE INTEGRATION NOTES
What is Integration?
Integration is the opposite of differentiation.
Example:
If
d/dx (x²) = 2x
then
∫2x dx = x² + C
IMPORTANT SYMBOLS
∫ = integration sign
dx = integrate with respect to x
C = constant of integration
BASIC RULE (POWER RULE)
∫xⁿ dx = xⁿ⁺¹ / (n+1) + C
Condition:
n ≠ -1
HOW TO INTEGRATE
STEP 1:
Add 1 to the power
STEP 2:
Divide by the new power
STEP 3:
Add + C
EXAMPLES
What is Integration?
Integration is the opposite of differentiation.
Example:
If
d/dx (x²) = 2x
then
∫2x dx = x² + C
IMPORTANT SYMBOLS
∫ = integration sign
dx = integrate with respect to x
C = constant of integration
BASIC RULE (POWER RULE)
∫xⁿ dx = xⁿ⁺¹ / (n+1) + C
Condition:
n ≠ -1
HOW TO INTEGRATE
STEP 1:
Add 1 to the power
STEP 2:
Divide by the new power
STEP 3:
Add + C
EXAMPLES
