 # Calculation of areas – Definite Integral

Definite Integral of a function is used to calculate the areas of flat regions, which are delimited by curves and straight lines. Bioprofe | Calculation of areas – Definite Integral | 01

# Areas of flat regions: Bioprofe | Calculation of areas – Definite Integral | 02 Bioprofe | Calculation of areas – Definite Integral | 03 Bioprofe | Calculation of areas – Definite Integral | 04 Bioprofe | Calculation of areas – Definite Integral | 05

# Areas limited by several functions: Bioprofe | Calculation of areas – Definite Integral | 06

This area is calculated as follows: Bioprofe | Calculation of areas – Definite Integrals | 07 – Bioprofe | Calculation of areas – Definite Integrals | 08 Bioprofe | Calculation of areas – Definite Integrals | 09

# Functions whose graphs are waveform: Bioprofe | Calculation of areas – Definite Integrals | 10 Bioprofe | Calculation of areas – Definite Integrals | 11

# Area delimited by the parabola y=x² and the line y=1 Bioprofe | Calculation of areas – Definite Integrals | 12

Integration interval: Bioprofe | Calculation of areas – Definite Integrals | 13

Therefore: Bioprofe | Calculation of areas – Definite Integrals | 14

# Area delimited by the parabola y=x², the line y=-x+2 and the ox axis Bioprofe | Calculation of areas – Definite Integrals | 15

Points of intersection: Bioprofe | Calculation of areas – Definite Integrals | 16

It is applied the following formula: Bioprofe | Calculation of areas – Definite Integrals | 17

Integration interval:
x=1
x=-2

Therefore: Bioprofe | Calculation of areas – Definite Integrals | 18

# Area delimited by the parabola y=-x², the lines x=-1, x=2 and the ox axis Bioprofe | Calculation of areas – Definite Integrals | 19 Bioprofe | Calculation of areas – Definite Integrals | 20

# Area delimited by the function y=x³, the lines x=-1, x=2 and the ox axis Bioprofe | Calculation of areas – Definite Integrals | 21 Bioprofe | Calculation of areas – Definite Integrals | 22

It is solved: Bioprofe | Calculation of areas – Definite Integrals | 23

# Area delimited by the functions y=e^x, y=e^-x , the lines x=-1, x=1 and the ox axis Bioprofe | Calculation of areas – Definite Integrals | 24 Bioprofe | Calculation of areas – Definite Integrals | 25