Evaluate ∫(3x2-5)2 dx - Mathematics and Statistics

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Sum

Evaluate `int(3x^2 - 5)^2  "d"x`

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Solution

Let I = `int(3x^2 - 5)^2  "d"x`

= `int (9x^4 - 30x^2 + 25) "d"x`

= `9intx^4"d"x - 30int x^2"d"x + 25int"d"x`

= `9((x^5)/5) - 30((x^3)/3) + 25x + "c"`

∴ I = `9/5 x^5 - 10x^3 + 25x + "c"`

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Chapter 1.5: Integration - Q.4

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