Answer
Verified
418.8k+ views
Hint- First, We simplify this equation by using of basic formula of algebra and integrate with respect to $z$
$\int {{{\left( {\frac{{1 - z}}{z}} \right)}^2}dz} $
$\int {\frac{{{{\left( {1 - z} \right)}^2}}}{{{z^2}}}dz} $
Here we use ${\left( {a + b} \right)^2} = {a^2} + {b^2} + 2ab$
$\int {\frac{{\left( {1 + {z^2} - 2z} \right)}}{{{z^2}}}dz} $
Whole equation is divided by ${z^2}$
$\int {\left( {\frac{1}{{{z^2}}} + 1 - \frac{2}{z}} \right)dz} $
Now, Integrate with respect to $z$
$ - \frac{1}{z} + z - 2{\log _e}z + $$c$ (here $c$is an integral constant)
Ans.
Note- In this type of question first we simplify the equation after that apply basic formula of integral
$\int {{{\left( {\frac{{1 - z}}{z}} \right)}^2}dz} $
$\int {\frac{{{{\left( {1 - z} \right)}^2}}}{{{z^2}}}dz} $
Here we use ${\left( {a + b} \right)^2} = {a^2} + {b^2} + 2ab$
$\int {\frac{{\left( {1 + {z^2} - 2z} \right)}}{{{z^2}}}dz} $
Whole equation is divided by ${z^2}$
$\int {\left( {\frac{1}{{{z^2}}} + 1 - \frac{2}{z}} \right)dz} $
Now, Integrate with respect to $z$
$ - \frac{1}{z} + z - 2{\log _e}z + $$c$ (here $c$is an integral constant)
Ans.
Note- In this type of question first we simplify the equation after that apply basic formula of integral
Recently Updated Pages
Basicity of sulphurous acid and sulphuric acid are
Assertion The resistivity of a semiconductor increases class 13 physics CBSE
The Equation xxx + 2 is Satisfied when x is Equal to Class 10 Maths
What is the stopping potential when the metal with class 12 physics JEE_Main
The momentum of a photon is 2 times 10 16gm cmsec Its class 12 physics JEE_Main
Using the following information to help you answer class 12 chemistry CBSE
Trending doubts
How do you solve x2 11x + 28 0 using the quadratic class 10 maths CBSE
Which type of bond is stronger ionic or covalent class 12 chemistry CBSE
What organs are located on the left side of your body class 11 biology CBSE
Difference between Prokaryotic cell and Eukaryotic class 11 biology CBSE
Difference Between Plant Cell and Animal Cell
How fast is 60 miles per hour in kilometres per ho class 10 maths CBSE
Fill the blanks with the suitable prepositions 1 The class 9 english CBSE
The Equation xxx + 2 is Satisfied when x is Equal to Class 10 Maths
When people say No pun intended what does that mea class 8 english CBSE