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Integrate the following function w.r.t. x: x9.sec2(x10)

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Questions

Integrate the following function w.r.t. x:

x9.sec2(x10)

Evaluate:

`intx^9 . sec^2 (x^10) dx`

Evaluate
Sum
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Solution

Let I = `int x^9 .sec^2(x^10).dx`

Put x10 = t
∴ 10x9dx = dt

∴ x9dx = `(1)/(10)dt`

∴ I = `int sec^2t.dt/(10)`

= `1/10 int sec^2t  dt`

= `(1)/(10)tan t+ c`

= `(1)/(10)tan(x^10) + c`

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Chapter 3: Indefinite Integration - Exercise 3.2 (A) [Page 110]

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