Chapter 3 Indefinite Integration Ex 3.1 Solutions

Balbharti12th Maharashtra State Board Maths Solutions BookPdf Chapter 3 Indefinite Integration Ex 3.1 Questions and Answers.

Maharashtra State Board 12th Maths Solutions Chapter 3 Indefinite Integration Ex 3.1

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

(i) x³+ x²– x + 1
Solution:

(ii)
Solution:

(iii)
Solution:

(iv)
Solution:

(v)
Solution:

II. Evaluate:

(i) ∫tan²x. dx
Solution:

(ii)
Solution:

(iii)
Solution:

(iv)
Solution:

(v)
Solution:

= -cot x – tan x + c

(vi)
Solution:

(vii)
Solution:

(viii)
Solution:

(ix)
Solution:

(x) ∫sin 4x cos 3x dx
Solution:

III. Evaluate:

(i)
Solution:

(ii)
Solution:

(iii)
Solution:

(iv)
Solution:

(v)
Solution:

(vi)
Solution:

(vii)
Solution:

(viii) ∫cos²x. dx
Solution:

(ix)
Solution:

(x)
Solution:

IV.