CBSE class 12 maths integration important questions 2022

All these questions are previously asked questions. [Download pdf]

1. \int \frac{3-5sin x}{\cos^2 x} dx [2018]
   
   
2. \int \frac{4}{(x-2)(x^2+4)} dx [2018]
   
   
3. \int_{0}^\frac{\pi}{2} \frac{x \sin x \cos x}{\sin^4 x + \cos^4 x} dx [2018]
   
   
4. \int_{1}^3 (3x^2+2x+1) dx as the limit of sum. [2018]
   
   
5. \int \frac{dx}{\sqrt{2x-x^2}} [2019]
   
   
6. \int \frac{dx}{\cos^2 x(1-\tan x)^2} [2019]
   
   
7. \int_{0}^1 x(1-x)^n dx [2019] [2020]
   
   
8. \int \frac{\cos x}{(1+\sin x)(2+\sin x)} dx [2019]
   
   
9. \int_{0}^\pi \frac{x\sin x}{1+\cos^2x} dx [2019]
   
   
10. \int \frac {e^{2x}-1}{e^{2x}+1} dx Solution
    
    All the Question below are asked in CBSE Maths class 12 exam 2020
    
11. \int_{\frac{-\pi}{4}}^\frac{-\pi}{4} \sec^2x dx
    
    
12. \int x^4\ln x dx
    
    
13. \int \frac{2x}{\sqrt[3]{x^2+1}} dx
    
    
14. \int_{1}^3 |2x-1| dx
    
    
15. \int \frac{dx}{9-4x^2}
    
    
16. \int \sec^3x dx
    
    
17. \int_{\frac{-\pi}{2}}^\frac{\pi}{2} x \cos^2x dx
    
    
18. \int \frac{\tan^3x}{\cos^3x} dx
    
    
19. \int \frac{x^3+1}{x^3-x} dx
    
    
20. \int e^x(\frac{x\ln x +1}{x}) dx
    
    
21. \int_{-2}^2 |x| dx
    
    
22. \int\frac{dx}{9+4x^2}
    
    
23. \int_{-1}^2 |x^3-x| dx
    
    
24. \int_{0}^\frac{\pi}{8} \tan^2(2x) dx
    
    
25. \int_{0}^{2\pi} |\sin x| dx
    
    
26. \int_{0}^a \frac{dx}{1+4x^2} = \frac{\pi}{8} find the value of a.
    
    
27. \int \frac{dx}{\sqrt {x} +x}
    
    
28. \int \sin^5 \frac{x}{2} \cos \frac{x}{2} dx
    
    
29. \int x^2 e^{x^3} dx
    
    
30. \int_{1}^4 |x-5| dx
    
    
31. \int \frac{x}{x^2+3x+2} dx
    
    
32. \int_{1}^2 [\frac{1}{x} - \frac{1}{2x^2}]e^{2x} dx
    
    
33. \int_{1}^4 (x^2-x) dx as a limit of sum

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