Calculus Integration Area Between the Curves IB Math HL

[@katexochwosoter8152]

Thank u calculus lesson well presented.

[@LoisKolip]

Thanks, I learned a lot ❤

[@MathematicsTutor]

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[@shalinikumari9630]

Thank you sir

[@zunaidahmed5332]

Thank you so much sir

[@KurtaKurapika-hv8gq]

Thankyou so much anil kumar! I learned nothin

[@vincentkakai4182]

What if you integrate the line between -2 and 2, this will give you area between the line and the x axis which includes the unshade region. Then you again add area between -2 and 1after integrating the curve then lastly subtract area between 1 and 2 after integrating the curve??? I will appreciate if you reply back. Thank you

[@vaigarainila]

same doubt..i have..

[@TitoToti-c2i]

Can we subtract x+2 from the other equation to make it easier

[@balmusa95]

Why do we say linear function minus the curve function and not the way round please?

[@vaigarainila]

For the curve function also, when we integrate y=f(x), we get the area below the curve up to x-axis, it it? so, it will deduct the area from 1 to 2, is it

[@alizah100]

Because the linear function is on top of the curve function, it’s always top function minus bottom function when integrating in terms of x and right minus left function when integrating in terms of y

[@vaigarainila]

why we are subtracting the area of curve(x^2+x-2)? are we finding only the area above the x-axis?

[@MathematicsTutor]

We need area enclosed between the two. Hope that helps. Thanks

[@sachinrath219]

will the area always come positive this way, in physics the area of curve below x axis comes negative, why it is so.

[@Warish..]

Because if you integrate a single function it area given is the area between x axis and the function but if the function has more curve below x axis it becomes nagetive...

[@akintolahabeebullahi2436]

Yo

[@sunduscasowe5609]

Kuma fahmin

[@riduanshihab7880]

thank you sir