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Learn Exercise 7.2 with Free Lessons & Tips

Download Solutions as PDF

let I 

Put x+4= t

Comments
Tasneem

Let = t

∴2x dx = dt

Comments
Shivam Sharma

Let log |x| = t

∴ 

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Shivam Sharma

Let 1 + log x = t

∴ 

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Shivam Sharma

sin x ⋅ sin (cos x)

sin x ⋅ sin (cos x)

Let cos x = t

∴ −sin x dx = dt

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Shivam Sharma

Let 

∴ 2adx = dt

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Shivam Sharma

Let ax + b = t

⇒ adx = dt

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Shivam Sharma

Let 

∴ dx = dt

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Shivam Sharma

Let 1 + 2x2 = t

∴ 4xdx = dt

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Shivam Sharma

Let 

∴

Comments
Shivam Sharma

Let 

∴ 

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Shivam Sharma

Let 

∴ 9x2dx = dt

Comments
Shivam Sharma

Let log x = t

∴ 

Comments
Shivam Sharma

Let 

∴ −8x dx = dt

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Shivam Sharma

Let 

∴ 2dx = dt

Comments
Tasneem

Let 

∴ 2xdx = dt

 

Comments
Shivam Sharma

Let 

∴ 

Comments
Shivam Sharma

Dividing numerator and denominator by ex, we obtain

Let 

∴ 

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Shivam Sharma

Let 

∴ 

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Shivam Sharma

Let 2x − 3 = t

∴ 2dx = dt

Comments
Tasneem

Let 7 − 4x = t

∴ −4dx = dt

Comments
Shivam Sharma

Let 

∴ 

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Shivam Sharma

Let 

∴ 

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Tasneem

Let 

∴ 

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Shivam Sharma

Let 

∴ 

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Shivam Sharma

Let sin 2x = t

∴ 

Comments
Shivam Sharma

Let 

∴ cos x dx = dt

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Shivam Sharma

cot x log sin x

Let log sin x = t

Comments
Shivam Sharma

Comments
Debesh Mukhopadhyay

Let 1 + cos x = t

∴ −sin x dx = dt

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Shivam Sharma

Let sin x + cos x = t ⇒ (cos x − sin x) dx = dt

Comments
Shivam Sharma

Put cos x − sin x = t ⇒ (−sin x − cos x) dx = dt

Comments
Shivam Sharma

Divide Numerator and Deminator by cos2x

I =

Put tan x = t

sec2x dx = dt

 I  =   

=

=

I =

 

Comments
Girish Pillai

Let 1 + log x = t

∴ 

Comments
Shivam Sharma

Let 

∴ 

Comments
Shivam Sharma

Let x4 = t

∴ 4x3 dx = dt

Let 

∴

From (1), we obtain

Comments
Shivam Sharma

equals

Let 

∴ 

Hence, the correct answer is D.

Comments
Shivam Sharma

Integrate the question

Let 

∴ (2x + 1)dx = dt

Comments
Shivam Sharma

equals

A.

B.

C.

D.

Hence, the correct answer is B.

Comments
Tasneem
All Exercises - Chapter 7 - Integrals
Exercise 7.1
Exercise 7.2
Exercise 7.3
Exercise 7.4
Exercise 7.5
Exercise 7.6
Exercise 7.7
Exercise 7.8
Exercise 7.9
Exercise 7.10
Exercise 7.11
Miscellaneous Exercise 7
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