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Evaluate the following integrals: tan2x dx

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प्रश्न

Evaluate the following integrals:

tan2x dx

मूल्यांकन
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उत्तर

1 + tan2x = sec2x

tan2x = sec2x – 1

`inttan^2 xdx = int(sec^2 x- 1) dx`

split the integral into two parts:

`intsec^2xdx - int 1dx`

∫sec2 x dx = tanx

∫1 dx = x

tan x – x + C
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पाठ 3: Indefinite Integration - Exercise 3.1 [पृष्ठ १०२]

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बालभारती Mathematics and Statistics 2 (Arts and Science) [English] Standard 12 Maharashtra State Board
पाठ 3 Indefinite Integration
Exercise 3.1 | Q 2.01 | पृष्ठ १०२

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