Evaluate: \int_{-1}^2\frac{|x|}{x}dx.

 

 

 

 
 
 
 
 

Answers (1)

Let I = \int_{-1}^2\frac{|x|}{x}dx

      I = \int_{-1}^0\frac{-x}{x}dx + \int_{0}^2\frac{x}{x}dx

\Rightarrow I = -[x]_{-1}^0 + \left[x \right ]_0^2

           \Rightarrow-[0 +1]+ \left[2 - 0 \right ]

           \Rightarrow-1 + 2

           = 1

Preparation Products

Knockout KCET 2021

An exhaustive E-learning program for the complete preparation of KCET exam..

₹ 4999/- ₹ 2999/-
Buy Now
Knockout KCET JEE Main 2021

It is an exhaustive preparation module made exclusively for cracking JEE & KCET.

₹ 27999/- ₹ 16999/-
Buy Now
Knockout NEET Sept 2020

An exhaustive E-learning program for the complete preparation of NEET..

₹ 15999/- ₹ 6999/-
Buy Now
Rank Booster NEET 2020

This course will help student to be better prepared and study in the right direction for NEET..

₹ 9999/- ₹ 4999/-
Buy Now
Knockout JEE Main Sept 2020

An exhaustive E-learning program for the complete preparation of JEE Main..

₹ 12999/- ₹ 6999/-
Buy Now
Exams
Articles
Questions