Maharashtra Board Text books

Chapter 3 Indefinite Integration Ex 3.1

I. Integrate the following functions w.r.t. x:

(i)  +  – x + 1
Solution:

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Solution:

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Solution:


Solution:


Solution:

II. Evaluate:

(i) ∫ta x . dx
Solution:
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Solution:
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Solution:
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Solution:

= -cot x – tan x + c


Solution:
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Solution:
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(x) ∫sin 4x cos 3x dx
Solution:

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III. Evaluate:

(i) ∫⋅dx
Solution:

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Solution:
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Solution:
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Solution:


Solution:
Maharashtra Board 12th Maths Solutions Chapter 3 Indefinite Integration Ex 3.1 III (vii)

(viii) ∫ x . dx
Solution:

Maharashtra Board 12th Maths Solutions Chapter 3 Indefinite Integration Ex 3.1 III (viii)


Solution:


Solution:

IV.

Question 1.

Solution:

By the definition of integral,
Maharashtra Board 12th Maths Solutions Chapter 3 Indefinite Integration Ex 3.1 IV