Question
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Answer (Detailed Solution Below)
Detailed Solution
Download Solution PDFধারণা:
অবিচ্ছেদ্য বৈশিষ্ট্য:
- ∫ x n dx =
+ C ; n ≠ -1 + C - ∫ e x dx = e x + C
- ∫ a x dx = (a x /ln a) + C ; a > 0, a ≠ 1
- ∫ sin x dx = - cos x + C
- ∫ cos x dx = sin x + C
অংশ দ্বারা একীকরণ: অংশ দ্বারা একীকরণ পণ্যের অখণ্ডতা খুঁজে বের করার একটি পদ্ধতি। অংশ দ্বারা একীকরণ করার সূত্রটি নিম্নরূপ:
⇒ \(\rm ∫ u vdx=u ∫ vdx- ∫ \left({du\over dx}\times ∫ vdx\right)dx \) + C
এখানে w হল u ফাংশন u(x) এবং v হল ফাংশন v(x)
ILATE নিয়ম হল সাধারণত, এই নিয়মের পছন্দক্রম কিছু ফাংশনের উপর ভিত্তি করে যেমন ইনভার্স, লগারিদম, বীজগণিত, ত্রিকোণমিতিক এবং সূচক।
গণনা:
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Last updated on Jul 18, 2025
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