Integral of (ax+b)^2 (substitution)

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Integral of (ax+b)^2 - How to integrate it step by step using the substitution method!

🚶 𝐒𝐭𝐞𝐩𝐬
00:00 Substitution: u=ax+b
00:07 Differentiate in both sides
00:16 Substitute ax+b and dx
00:27 Rewrite expression
00:33 Integrate u^2
00:40 Rewrite expression
00:47 Undo substitution: u in terms of x
00:54 Add integration constant +C
01:01 Final answer!

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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

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IntegralsForYou

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Neither the white paper, nor the golden pen....
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mouryabhatt

Hey can we solve like this (ax+b)² = (ax)² + b² +2abx
And then Integrate

adj

Do this:

∫ √(ax^2+b)/√(cx^2+d) dx

I need it. With this, is possible solve problems of ropes suspended by two columns separated at distance more than 0.

arturovinassalazar

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