Скачать или смотреть Integration as inverse process of differentiation

Class-12th

Find the anti derivative (or integral) of the following functions by the method of inspection.

1: sin⁡2x 2: e^2x 3: (ax+b)^2
Find the following integrals:

4: ∫▒〖(4e^3x+1) □(24&dx)〗 5: ∫▒〖x^2 (1-1/x^2 ) 〗 dx 6: ∫▒(ax^2+bx+c)dx 7: ∫▒〖(√x-1/√x)^2 dx〗
8: ∫▒(x^3+3x+4)/√x dx 9: ∫▒〖(x^3-x^2+x-1)/(x-1) dx〗 10: ∫▒〖(1-x) √x dx〗 11: ∫▒(2x^2-3 sin⁡x+5√x)dx
12: ∫▒sec⁡x(sec⁡x+tan⁡x )dx 13: ∫▒〖(〖sec〗^2 x)/(〖cosec〗^2 x) dx〗


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