मराठी

Integrate the functions: sec2(7 – 4x)

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प्रश्न

Integrate the functions:

sec2(7 – 4x)

बेरीज
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उत्तर

Let `I = int sec^2` (7 - 4x) dx

Put 7 - 4x = t

- 4 dx = dt or dx `= - 1/4` dt

Hence, `I = - 1/4 int sec^2` t dt

`= - 1/4` tan t + C

`= - 1/4` tan (7 - 4x) + C

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पाठ 7: Integrals - Exercise 7.2 [पृष्ठ ३०५]

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एनसीईआरटी Mathematics Part 1 and 2 [English] Class 12
पाठ 7 Integrals
Exercise 7.2 | Q 22 | पृष्ठ ३०५

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