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महाराष्ट्र राज्य शिक्षण मंडळएचएससी विज्ञान (सामान्य) इयत्ता १२ वी

Evaluate: ∫1x2+25dx - Mathematics and Statistics

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प्रश्न

Evaluate:

`int1/(x^2 + 25)dx`

मूल्यांकन

उत्तर

Let I = `int1/(x^2 + 25)dx`

= `1/(x^2 + (5)^2)dx`

= `1/5 tan^-1  x/5 + c`

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