Question

integration of x(x-2)²​

Answer 1

Are you idiot?

It's too simple dear,

x(x-2)^2,

Expand it,

x(x^2 - 4x + 4)

(x^3 - 4x^2 + 4x)

Integrate it,

x^4/4 - 4x^3/3 + 4x^2/2

Recheck by differentiating it,

Answered by an IIT JEE ASPIRANT and all India mathematics OLYMPIAD TOPPER in class 10th

Answer 2

Hello my friend

Here is your answer

It is given that x( x-2)²

> x( x²-4x+4)

> x³ - 4x² +4x

now integrating wrt dx

integral of (x³ - 4x² + 4x ) dx

> x⁴/4 - 4* x³/3 + 4* x²/2

> x⁴/4 - 4x³/3 + 2x²

> (3x⁴ - 12 x³ + 24x²) l 12 it is the answer

Hope it helps you

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