Integration help !!

How would i got about integrating

2x(1-x)^7 Any help would be great thanks

Posted from TSR Mobile

let u=1-x，x=1-u integration by substitutution

How would i got about integrating

2x(1-x)^7 Any help would be great thanks

Posted from TSR Mobile

Original post by rainbowzhu

let u=1-x，x=1-u integration by substitutution

I would have used Integration By Parts, but that is just a personal preference

How would i got about integrating

2x(1-x)^7 Any help would be great thanks

Posted from TSR Mobile

2x\cdot (1-x)^7=(2x-2+2)(\cdot (1-x)^7=-2(1-x)(1-x)^7+2(1-x)^7=2(1-x)^7-2(1-x)^8

and for integration of (1-x)^n use

\displaystyle \int (ax+b)^n dx=\frac{(ax+b)^{n+1}}{a\cdot (n+1)}+C

(edited 10 years ago)

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