This calculus video tutorial explains how to find the integral of absolute value of x or abs(x) using graphs and piecewise functions as well as the power rule for integration.

Calculus 1 Final Exam Review: https://www.youtube.com/watch?v=WmBzmHru78w
Full-Length Exam Videos: https://www.patreon.com/MathScienceTutor
Calculus Video Playlists: https://www.video-tutor.net/
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Integration & Antiderivatives: https://www.youtube.com/watch?v=6WUjbJEeJwM
Calculus 1 - Derivatives: https://www.youtube.com/watch?v=5yfh5cf4-0w
Integral of 1/Sqrt(x): https://www.youtube.com/watch?v=bdeCv9fhIAo
Integral of |x|: https://www.youtube.com/watch?v=X2OYT2vByPQ
Integral of Cos(2x): https://www.youtube.com/watch?v=cCdj0uy0v80
Integral of Cos^2(x): https://www.youtube.com/watch?v=Qjq5Yg39ZAs
Integral of Sin^2(x): https://www.youtube.com/watch?v=CZz41N9yuMg
Integral of Sin^4(x): https://www.youtube.com/watch?v=mm5dWsivGUI
Integral of Tan^2(x): https://www.youtube.com/watch?v=FcNNM0jTC5g
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U-Substitution Integration: https://www.youtube.com/watch?v=sdYdnpYn-1o
Integral of 1/e^x: https://www.youtube.com/watch?v=LZf8mMxE3l4
Integral of ln(x)/x: https://www.youtube.com/watch?v=4oqOz2Q_zPQ
Integral of 1/(1+e^x): https://www.youtube.com/watch?v=b2--C4XoENg
Integral of Tan(x): https://www.youtube.com/watch?v=8TOEBQE0zvo
Integral of Sec(x): https://www.youtube.com/watch?v=JqLLL3CV910
Integral of Sin(x)Cos(x): https://www.youtube.com/watch?v=4kFA1B5rqfk
Integral of x/sqrt(1-x^2): https://www.youtube.com/watch?v=PFapCTLX4C4
Integral of x/sqrt(x+1): https://www.youtube.com/watch?v=gthCxSrFdds
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Integration By Parts Technique: https://www.youtube.com/watch?v=sWSLLO3DS1I
Integral of xe^x: https://www.youtube.com/watch?v=kUlK-ZIloeI
Integral of e^x Sinx: https://www.youtube.com/watch?v=2JKPTCBaI4w
Integral of ln(x): https://www.youtube.com/watch?v=M_fWpxC2x8M
Integral of (lnx)^2: https://www.youtube.com/watch?v=Jmb91aClK8E
Integral of ln(x)/x^2: https://www.youtube.com/watch?v=h0ClXW2GlDI
Integral of ArcSin(x): https://www.youtube.com/watch?v=qwHhwdvTGdY
Integral of e^[sqrt(x)]: https://www.youtube.com/watch?v=9XBL54j-3Eg
Integral of Sin(lnx): https://www.youtube.com/watch?v=r2zyTfXyYMc
Integral of Sec^3(x): https://www.youtube.com/watch?v=BtXLwxBygV0
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Trigonometric Integrals: https://www.youtube.com/watch?v=3pXALn2ovIE
Integral of Sin^3(x): https://www.youtube.com/watch?v=AaEip3kJ5Gc
Integral of Sin^5(x): https://www.youtube.com/watch?v=HKVbd9S5Tug
Integral of Tan^3(x): https://www.youtube.com/watch?v=uSckYspuqUg
Integral of Tan^4(x): https://www.youtube.com/watch?v=WowgFePtPOk
Integral of Tan^5(x): https://www.youtube.com/watch?v=-2Q7MSyYo70
Integral of Cos^3(x): https://www.youtube.com/watch?v=Pf7gQVhGCE0
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Trigonometric Substitution: https://www.youtube.com/watch?v=ocgjfF2AboA
Integral of 1/(1+x^2): https://www.youtube.com/watch?v=b7kePAuqU3I
Integral of x^2/(x^2 + 1): https://www.youtube.com/watch?v=INuNfCW9ZPo
Integral of 1/sqrt(1-x^2): https://www.youtube.com/watch?v=9AvyXgfNN9E