যোগজ সংক্রান্ত সুত্রাবলীঃ 

1. ∫{𝑓(𝑥)±φ(𝑥)}𝑑𝑥 = ∫𝑓(𝑥)𝑑𝑥 ± ∫φ(𝑥)𝑑𝑥

2. ∫𝑐𝑓(𝑥)𝑑𝑥 = 𝑐∫𝑓(𝑥)𝑑𝑥

3. ∫𝑑𝑥 = 𝑥

4. ∫𝑥𝑛𝑑𝑥 = 𝑥𝑛+1𝑛+1 ;যখন n≠–1

5. ∫1𝑥𝑑𝑥 = ln𝑥

6. ∫1√𝑥𝑑𝑥 = 2√𝑥

7. ∫𝑒𝑥𝑑𝑥 = 𝑒𝑥

8. ∫𝑒𝑚𝑥𝑑𝑥 = 1𝑚𝑒𝑚𝑥

9. ∫𝑎𝑥𝑑𝑥 = 𝑎𝑥ln𝑎

10. ∫sin𝑥𝑑𝑥 = – cos𝑥

11. ∫cos𝑥𝑑𝑥 = sin𝑥

12. ∫tan𝑥𝑑𝑥 = lnsec𝑥

13. ∫cot𝑥𝑑𝑥 = lnsin𝑥

14. ∫𝑠𝑒𝑐2𝑥𝑑𝑥 = tan𝑥

15. ∫𝑐𝑜𝑠𝑒𝑐2𝑥𝑑𝑥 = – cot𝑥

16. ∫sec𝑥tan𝑥𝑑𝑥 = sec𝑥

17. ∫𝑐𝑜𝑠𝑒𝑐𝑥cot𝑥𝑑𝑥 = – 𝑐𝑜𝑠𝑒𝑐𝑥

18. ∫sin𝑎𝑥𝑑𝑥 = – 1𝑎cos𝑎𝑥

19. ∫cos𝑎𝑥𝑑𝑥 = 1𝑎sin𝑎𝑥

20. ∫𝑑𝑥𝑎2+𝑥2 = 1𝑎tan−1𝑥𝑎

21. ∫𝑑𝑥1+𝑥2 = tan−1𝑥

22. ∫𝑑𝑥𝑎2−𝑥2 = 12𝑎ln𝑎+𝑥𝑎−𝑥

23. ∫𝑑𝑥𝑥2−𝑎2 = 12𝑎ln𝑥−𝑎𝑥+𝑎

24. ∫𝑑𝑥√𝑎2−𝑥2 = sin−1𝑥𝑎

25. ∫𝑑𝑥√1−𝑥2 = sin−1𝑥

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