int (1+log x)/(1+x log x)dx=...

`int (1+log x)/(1+x log x)dx=`

A

log|1 + x log x | + c

B

log |x log x | + c

C

log | 1 + log x | + c

D

1 + x log x + c

Text Solution

Verified by Experts

The correct Answer is:

A

Promotional Banner

Promotional Banner

Topper's Solved these Questions

INDEFINITE INTEGRALS
AAKASH SERIES|Exercise EXERCISE -II|157 Videos
INDEFINITE INTEGRALS
AAKASH SERIES|Exercise PRACTICE EXERCISE|167 Videos
INDEFINITE INTEGRALS
AAKASH SERIES|Exercise ADDITIONAL EXERCISE|16 Videos
HYPERBOLA
AAKASH SERIES|Exercise Exercise|6 Videos
LOGARITHMIC SERIES
AAKASH SERIES|Exercise EXERCISE - III|8 Videos

AAKASH SERIES-INDEFINITE INTEGRALS -EXERCISE - I

int (x +1)/(x^(2) + 1) dx =
Text Solution
|
int (1)/(x (2 +3 log x )) dx =
Text Solution
|
int (1+log x)/(1+x log x)dx=
Text Solution
|
int (dx)/(x(1+log x)^(3))=
Text Solution
|
int (1-tanx)/(1+tan x)dx=
Text Solution
|
int (1)/(sqrt(x)+x)dx=
Text Solution
|
int (1)/("cosecx" - cot x) dx =
Text Solution
|
Evaluate the integerals. int sqrt(e ^(x) -4) dx on [log (e) 4, oo...
Text Solution
|
If int (e^(x)-1)/(e^(x)+1)dx=f(x)+c, then f(x)=
Text Solution
|
int(x^(e-1)+e^(x-1))/(x^(e)+e^(x))dx=
Text Solution
|
int (e^(x)+e^(-x))/((e^(x)-e^(-x)) log sin hx)dx=
Text Solution
|
int (e^(x))/((1 + e^(2x)) tan^(-1) (e^(x)) ) dx =
Text Solution
|
int sec x "cosec" x dx=
Text Solution
|
If int (4 sec^(2)" x tan x")/(sec^(2) " x + tan"^(2) x)" dx = log " |1...
Text Solution
|
int (1)/(" tan x tan" (60^(@) - x) tan (60^(@) + x) ) dx =
Text Solution
|
int (sin 2x)/(1+ sin^(4)x)dx=
Text Solution
|
int (1)/(sqrt(2 + 3x^(2))) dx =
Text Solution
|
int (3^x)/(sqrt(9^x - 1) ) dx =
Text Solution
|
Match the following. I. int (1)/(9+x^(2))dx= " " a) (1)/(6) log ...
Text Solution
|
If int (dx)/(x^(2) + 2x+ 2) = f(x) + c then f(x) =
Text Solution
|