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Chapter 7 Class 12 Integrals
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Example 18 - Chapter 7 Class 12 Integrals

Last updated at August 11, 2026 by Teachoo

For Finding Integration of lnx (log x),

we use Integration by Parts

We follow the following steps

Write ∫ log x dx = ∫ (log x) . 1 dx
Take first function as log x, second function as 1.
Use integration by Parts and solve

Example 18 - Find integration log x (lnx) - Integration by parts

There are other formulas which are used to find Integral, refer Integral Table .

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Example 18 Find Intgeral of log x ln x log = log .1 Using by parts I function = f(x) = log & II function =g(x) = 1 log .1 = log 1 . log 1 . = log 1 . . = log 1 . = +

Chapter 7 Class 12 Integrals
Serial order wise

Examples

Example 1 (i)

Example 1 (ii)

Example 1 (iii)

Example 2 (i)

Example 2 (ii)

Example 2 (iii) Important

Example 3 (i)

Example 3 (ii) Important

Example 3 (iii)

Example 4

Example 5 (i)

Example 5 (ii)

Example 5 (iii) Important

Example 5 (iv) Important

Example 6 (i)

Example 6 (ii) Important

Example 6 (iii) Important

Example 7 (i)

Example 7 (ii) Important

Example 7 (iii)

Example 8 (i)

Example 8 (ii) Important

Example 9 (i)

Example 9 (ii) Important

Example 9 (iii) Important

Example 10 (i)

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Example 11

Example 12

Example 13 Important

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Example 15 Important

Example 16 Important

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Example 18 Important

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Example 19

Example 20 Important

Example 21 Important

Example 22 Important

Example 23

Example 24

Example 25 (i)

Example 25 (ii) Important

Example 25 (iii)

Example 25 (iv) Important

Example 26

Example 27

Example 28 Important

Example 29

Example 30

Example 31

Example 32 Important

Example 33 Important

Example 34 Important

Example 35

Example 36 Important

Example 37 Important

Example 38 Important

Example 39 Important

Example 40 Important

Example 41 Important

Example 42 Important

Question 1 Important

Question 2

Question 3 (Supplementary NCERT) Important

Miscellaneous →

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Example 18 - Chapter 7 Class 12 Integrals

For Finding Integration of lnx (log x),

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