Exercise 7.2 _ 12th Mathematics _ Integrals
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Integrals Example 5
Video Solution:
Ch7: Integrals Example 6
Video Solution:
Integrals Exercise 7.2 Q.No 1
∫2x/(1+x^2 ) dx
Solution:
Integrals Exercise 7.2 Q.No 2
(2) ∫〖(logx)〗^2/x dx
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Integrals Exercise 7.2 Q.No 3
(3) ∫1/(x + x logx) dx
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Integrals Exercise 7.2 Q.No 4
(4) ∫〖sinx sin〖(cosx)〗 〗 dx
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Integrals Exercise 7.2 Q.No 5
(5) ∫〖sin(ax+b) cos〖(ax+b)〗 〗 dx
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Integrals Exercise 7.2 Q.No 6
(6) ∫√(ax+b) dx
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Integrals Exercise 7.2 Q.No 7
(7) ∫〖x√(x+2)〗 dx
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Integrals Exercise 7.2 Q.No 8
(8) ∫〖x√(1+2x^2 )〗 dx
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Integrals Exercise 7.2 Q.No 9
∫〖(4x+2)〗 √(x^2+x+1) dx
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Integrals Exercise 7.2 Q.No 10
∫1/(x-√x) dx
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Integrals Exercise 7.2 Q.No 11
∫x/√(x+4) dx
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Integrals Exercise 7.2 Q.No 12
∫〖〖(x^3-1)〗^(1/3) 〖 x〗^5 〗 dx
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Integrals Exercise 7.2 Q.No 13
∫x^2/〖(2+3x^3)〗^3 dx
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Integrals Exercise 7.2 Q.No 14
∫1/〖x(logx)〗^m dx,x>0,m≠1
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Integrals Exercise 7.2 Q.No 15
∫x/(9-4x^2 ) dx
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Integrals Exercise 7.2 Q.No 16
∫e^(2x+3) dx
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Integrals Exercise 7.2 Q.No 17
∫x/e^(x^2 ) dx
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Integrals Exercise 7.2 Q.No 18
∫e^tan^(-1)x /(1+x^2 ) dx
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Integrals Exercise 7.2 Q.No 19
∫(e^2x-1)/(e^2x+1) dx
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Integrals Exercise 7.2 Q.No 20
∫(e^2x-e^(-2x))/(e^2x+e^(-2x) ) dx
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Integrals Exercise 7.2 Q.No 21
∫〖〖tan〗^2 (2x-3)〗 dx
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Integrals Exercise 7.2 Q.No 22
∫〖〖sec〗^2 (7-4x)〗 dx
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Integrals Exercise 7.2 Q.No 23
∫sin^(-1)x/√(1-x^2 )dx
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Integrals Exercise 7.2 Q.No 24
∫(2cosx - 3sinx)/(6cosx + 4sinx) dx
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Integrals Exercise 7.2 Q.No 25
∫1/(〖cos〗^2 x〖 (1-tanx)〗^2 ) dx
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Integrals Exercise 7.2 Q.No 26
∫(cos√x)/√x dx
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Integrals Exercise 7.2 Q.No 27
∫〖√sin2x cos2x〗 dx
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Integrals Exercise 7.2 Q.No 28
∫cosx/√(1+sin x) dx
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Integrals Exercise 7.2 Q.No 29
∫〖cotx logsinx 〗 dx
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Integrals Exercise 7.2 Q.No 30
∫(sin x)/(1+cos x) dx
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Integrals Exercise 7.2 Q.No 31
∫(sin x)/〖(1+cos x)〗^2 dx
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Integrals Exercise 7.2 Q.No 32
∫1/(1+cot x) dx
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Integrals Exercise 7.2 Q.No 33
∫1/(1- tan x) dx
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Integrals Exercise 7.2 Q.No 34
∫√(tan x)/(sinx cos x) dx
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Integrals Exercise 7.2 Q.No 35
∫〖(1+log x)〗^2/x dx
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Integrals Exercise 7.2 Q.No 36
∫〖(x+1)(x+log x)〗^2/x dx
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Integrals Exercise 7.2 Q.No 37
∫(x^3 〖sin(tan^(-1)x〗^4))/(1+x^8 ) dx
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Integrals Exercise 7.2 Q.No 38
∫(〖10x〗^9+〖10〗^x log10)/(x^10+〖10〗^x ) dx
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Integrals Exercise 7.2 Q.No 39
∫dx/(〖sin〗^2 x 〖cos〗^2 x)
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