Find the integral ∫ (x^3/2 + 2e^x

Integral of x^(2/3)
Integral of x^(2/3)

Example 2 (iii) – Chapter 7 Class 12 Integrals

Last updated at May 29, 2023 by Teachoo

Examples

Example 1 (ii)

Example 1 (iii)

Example 2 (i)

Example 2 (ii)

Example 2 (iii) Important You are here

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)

Example 10 (ii) Important

Example 11

Example 12

Example 13 Important

Example 14

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Example 16 Important

Example 17

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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

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Example 28 Important

Example 29

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Example 32 Important

Example 33 Important

Example 34 Important

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Example 36 Important

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Example 42 Important

Question 1 Important Deleted for CBSE Board 2024 Exams

Question 2 Deleted for CBSE Board 2024 Exams

Question 3 (Supplementary NCERT) Important Deleted for CBSE Board 2024 Exams

Last updated at May 29, 2023 by Teachoo

Example 2 Find the following integrals: (iii) ∫▒(𝑥^(3/2)+2𝑒^𝑥−1/𝑥) 𝑑𝑥 ∫1▒(𝑥^(3/2)+2𝑒^𝑥−1/𝑥) 𝑑𝑥 =∫1▒𝑥^(3/2) 𝑑𝑥+2∫1▒𝑒^𝑥 𝑑𝑥−∫1▒1/𝑥 𝑑𝑥 = 𝑥^(3/2 + 1)/(3/2 + 1) +2𝑒^𝑥−log〖 |𝑥|〗+𝐶 = 𝑥^(5/2)/(5/2)+2𝑒^𝑥−〖log 〗|𝑥|+𝐶 = 〖𝟐𝒙 〗^(𝟓/𝟐)/𝟓+𝟐𝒆^𝒙−〖𝒍𝒐𝒈 〗|𝒙|+𝑪 As ∫1▒𝑥^𝑛 𝑑𝑥=𝑥^(𝑛 + 1)/(𝑛 + 1) +𝐶 ∫1▒𝑒^𝑥 𝑑𝑥=𝑒^𝑥 +𝐶 ∫1▒1/𝑥 𝑑𝑥=log〖 |𝑥|〗 +𝐶

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