# Misc 4 - Chapter 7 Class 12 Integrals (Term 2)

Last updated at May 29, 2018 by Teachoo

Last updated at May 29, 2018 by Teachoo

Transcript

Misc 4 Integrate the function 1 𝑥2 𝑥4 + 1 34 1 𝑑𝑥 𝑥2 𝑥4 + 1 34 Taking 𝒙𝟒 common from denominator = 1 𝑑𝑥 𝑥2 (𝑥4) 34 1 + 1 𝑥4 34 = 𝑑𝑥 𝑥2 (𝑥3) 1 + 1 𝑥4 34 = 𝑑𝑥 𝑥5 1 + 1 𝑥4 34 Let t = 1 + 1 𝑥4 𝑑𝑡𝑑𝑥 = − 4 𝑥5 − 𝑑𝑡4 = 𝑑𝑥 𝑥5 Substituting value of x and dx = −14 𝑑𝑡 𝑡 34 = −14 𝑡 −34 𝑑𝑡 = −14 𝑡 −34 + 1 −34 + 1+ C = −14 𝑡 14 14+ C = − 𝑡 14+ C = − 𝟏+ 𝟏 𝒙𝟒 𝟏𝟒+ C

Miscellaneous

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Misc 2 Important

Misc 3 Important

Misc 4 You are here

Misc 5 Important

Misc 6

Misc 7 Important

Misc 8 Important

Misc 9

Misc 10 Important

Misc 11

Misc 12

Misc 13

Misc 14 Important

Misc 15

Misc 16

Misc 17

Misc 18 Important

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Misc 20 Important

Misc 21

Misc 22

Misc 23

Misc 24 Important

Misc 25 Important

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Misc 29

Misc 30 Important

Misc 31 Important

Misc 32 Important

Misc 33 Important

Misc 34

Misc 35

Misc 36

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Misc 38 Important

Misc 39

Misc 40 Important Deleted for CBSE Board 2022 Exams

Misc 41 (MCQ) Important

Misc 42 (MCQ)

Misc 43 (MCQ)

Misc 44 (MCQ) Important

Integration Formula Sheet - Chapter 7 Class 12 Formulas Important

About the Author

Davneet Singh

Davneet Singh is a graduate from Indian Institute of Technology, Kanpur. He has been teaching from the past 10 years. He provides courses for Maths and Science at Teachoo.