Area between curves with multiple boundaries

Показать описание

Khan Academy

Рекомендации по теме

Комментарии

After thirty seconds I knew what to do! Thanks a lot!

nxplicit

Thank you so much. I really got frustrated with all this stuff at first but your video really really helped :) thanks again

MrSarimjavaid

Finally, something that makes sense. 😭

tgg

When finding the area between two curves (like say the left half of the graph intersection), i wrote it as two integrals, and same with the right half. Then I realized I could evaluate the topleft and topright separately, and the entire bottom as one integral, so I was doing

1 2 2
∫ sqrt(x) dx - ∫ (x^2 / 4 - 1) dx + ∫ (2-x) dx
0 0 1

EDIT: Noice I got the answer

SomeRandomFellow

what if you dont know which graph is on top where?? since it may take an hour to draw the graph with out a calculator. we do not use calculators?

meditationtube

Hey Sal, ive been doing definite integrals for a long time but there is one thing i never understood: why is the antiderivative of a function equal to the area found by a riemann sum?

indianash

Which playlist is this in on the site?

Naabenstadt

Is the area below the x axis considered negative?

HL-iwdu

there is an obvious error when you integrated the right hand side area. the integral of 2 is 2x, not 3x. the actual area is 1.5units^2.

AdityaCasio

I reckon he's just tired so he didn't notice... He is making video after video.

adalali

how do you know which function is higehr jist by looking at the question?
HOW DO YOU KNOW WHEN TO USE VERTICLE OR HORIZONTAL STIPES AND HOW DO U USE THEM OMGG

gloriasheen

what if you dont know which graph is on top where?? since it may take an hour to draw the graph with out a calculator. we do not use calculators?

meditationtube

Area between curves with multiple boundaries

Area between curves with multiple boundaries

Area Between Two Curves

Area between curves | Applications of definite integrals | AP Calculus AB | Khan Academy

Curves with Multiple Crossings (1 of 5: Locating the boundaries)

Calculus AB/BC – 8.6 Finding the Area Between Curves That Intersect at More Than Two Points

Finding the Area Between Two Curves by Integration

Calculus 1 Lecture 5.1: Finding Area Between Two Curves

Double Integral example to find the area between 2 curves

Calculus 2 - Integration: Finding the Area Between Curves (12 of 22) Horizontal dA

Worked example: area between curves | AP Calculus AB | Khan Academy

Area between curves

Finding Areas between Two Curves | Areas of Plane Regions Using Definite Integrals | Calculus

Areas Between Curves (2 of 3: Evaluating the integrals)

Horizontal area between curves | Applications of definite integrals | AP Calculus AB | Khan Academy

Calculus 2 - Integration: Finding the Area Between Curves (4 of 22) Ex. 4: x=y^2, y=x-2

Area Between Two Curves - Example (1 of 2: Visualising the region)

Areas Between Curves (1 of 3: Establishing 'top' minus 'bottom')

how to find the area between two curves (vertical vs horizontal cases)

Calculus 2 - Integration: Finding the Area Between Curves (2 of 22) Ex. 2: y=(x^2)-2x, y=-(2x^2)+7x

Calculus: Areas Between Curves (Section 6.1) | Math with Professor V

Calculus 2 - Integration: Finding the Area Between Curves (3 of 22) Ex. 3: y=sinx, y=cosx BEWARE!

Calculus 2 - Integration: Finding the Area Between Curves (14 of 22) Using Symmetry

Area Between TWO Curves (integration) #calculus #mathchallenge #mathtricks #calculushelp

Area Between Curves - Integrating with Respect to Y