Integral of x^3/sqrt(x^2+4) (substitution)

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Integral of x^3/sqrt(x^2+4) - How to integrate it step by step using the substitution method!

✅ 𝐃𝐞𝐫𝐢𝐯𝐚𝐭𝐢𝐯𝐞 𝐭𝐨 𝐜𝐡𝐞𝐜𝐤 𝐭𝐡𝐞 𝐬𝐨𝐥𝐮𝐭𝐢𝐨𝐧

👋 Follow @integralsforyou on Instagram for a daily integral 😉

𝐈𝐧𝐭𝐞𝐠𝐫𝐚𝐭𝐢𝐨𝐧 𝐦𝐞𝐭𝐡𝐨𝐝𝐬 𝐩𝐥𝐚𝐲𝐥𝐢𝐬𝐭
► Integration by parts

► Integration by substitution

► Integration by trig substitution

► Integration by Weierstrass substitution

► Integration by partial fraction decomposition

𝐅𝐨𝐥𝐥𝐨𝐰 𝐈𝐧𝐭𝐞𝐠𝐫𝐚𝐥𝐬 𝐅𝐨𝐫𝐘𝐨𝐮

𝐃𝐨𝐧𝐚𝐭𝐞

#integralsforyou #integrals #integrationbysubstitution

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👋 Follow @integralsforyou for a daily integral 😉

𝐈𝐧𝐭𝐞𝐠𝐫𝐚𝐭𝐢𝐨𝐧 𝐦𝐞𝐭𝐡𝐨𝐝𝐬 𝐩𝐥𝐚𝐲𝐥𝐢𝐬𝐭
► Integration by parts

► Integration by substitution

► Integration by trig substitution

► Integration by Weierstrass substitution

► Integration by partial fraction decomposition

𝐅𝐨𝐥𝐥𝐨𝐰 𝐈𝐧𝐭𝐞𝐠𝐫𝐚𝐥𝐬 𝐅𝐨𝐫𝐘𝐨𝐮
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IntegralsForYou

Sir Iam very thankful to u
I get many more marks due to ur videos specified by extremely toughest sums, and taking them as examples to teach....

thusharaditya

at 1:19 how did it go from (u)/sqrt(u) to just sqrt(u) on the next step?

MiguelGarcia-zphh

I appreciate you, I was on the verge of losing my mind but now I this method better 🙌🏾

jason-xnle

we can do it a bit easier:
let u = sqrt(x^2 + 4) -> du = xdx/sqrt(x^2 + 4):
int(x^2)du = int(u^2 - 4)du = u^3/3 - 4u + c

АлександрБраженко-нп

Thanks a lot sir for this integration ❤ help me regarding calculus

Ansheshwallah

how does he go from (1/3u^3/2)-(4u^1/2) to (1/3u^1/2) X (u-12) ????

wedjininja

Hello, could you make videos on double integrals?
or is there any way we can reach out to you for some help on specific problems?

karolinase

can we call this process as rationalizing substitution?

vrieeeee

another substitution x²+1=t² and dx = (tdt)/(sqrt(t²-4)

fisicauned-xyzw

Sir I have so many doubts related to this topic and differential equation type of problems so is it possible to contact with you sir

celebsupdatesbykeerthiredd

Hello teacher!
İntegral of |𝑥 − 2|*{|x/2|}*sgn(x-1)dx from -2 to 3 ?

batuhanbozkurt

Can't we solve this using trigonometry?
Like taking x=2tan¥

muhammadanasmashhood

Hello,
thanks for the explanation.
How would the integral of ∫√ x²-8/2x³ and the integral of ∫dx/(6-x²)^3/2 ? thank you for your time!

claracast

Hi there, can you solve the Integral of e^(-3x) Sin(4x) dx?

juannoguera

Could you help me please? Integral of x^2 dx /sqrt (4-x^2)^3
Thanks for creating this channel btw <3.

jcng

Hello. Could you solve the integral of 1/((x-1)(x^2+x+3)) dx please 😉 thank you for works 💚

ayseatli

Can anyone help me to do this integral(e^2x)/sqrt(3-7e^3x)

nikhamizan

Could you solve the integral of ∫x^n/((x-2)(x-3)) dx please 😉 thank you for works 💚

rozinaalam

use the trigonometric substitution method

diogosquaysh

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