Home
Class 12
MATHS
int (dx)/((x+2)(x^(2)+1))=a log|1+x^(2)|...

`int (dx)/((x+2)(x^(2)+1))=a log|1+x^(2)|+btan^(-1)x+(1)/(5)log|x+2|+C` then ... Of the following is true.
a) `a=-(1)/(10), b=-(2)/(5)`
b) `a=(1)/(10), b=-(2)/(5)`
c) `a=-(1)/(10), b=(2)/(5)`
d) `a=(1)/(10), b=(2)/(5)`

A

`a=-(1)/(10), b=-(2)/(5)`

B

`a=(1)/(10), b=-(2)/(5)`

C

`a=-(1)/(10), b=(2)/(5)`

D

`a=(1)/(10), b=(2)/(5)`

Text Solution

Verified by Experts

The correct Answer is:
C
Promotional Banner

Topper's Solved these Questions

  • INTEGRALS

    KUMAR PRAKASHAN|Exercise MULTIPLE CHOICE QUESTIONS(MCQS)|326 Videos

  • INTEGRALS

    KUMAR PRAKASHAN|Exercise PRACTICE PAPER-7 (SECTION-A)|6 Videos

  • INTEGRALS

    KUMAR PRAKASHAN|Exercise SOLUTIONS OF NCERT EXEMLAR PROBLEMS (Long Answer Type Questions)|13 Videos

  • DETERMINANTS

    KUMAR PRAKASHAN|Exercise Practice Paper-4 (Section-D)|2 Videos

  • INVERSE TRIGONOMETRIC FUNCTIONS

    KUMAR PRAKASHAN|Exercise PRACTICE PAPER - 2 (SECTION - D)|2 Videos

Similar Questions

Explore conceptually related problems

If int (sin2x)/(sin 5 x sin 3x)dx= (1)/(3) log |sin 3x|- (1)/(5) log |f(x)|+C , then f(x)= ____

int (5(x^(6)+1))/(x^(2)+1)dx=....

find int ((x +1) (x + log x)^2)/(x)dx

If int (10x^(9)+a10^(x-1))/(x^(10)+10^(x)) dx=log(x^(10)+10^(x))+c then a=......

int(x^(3))/(sqrt(1+x^(2)))dx=a(1+x^(2))^((3)/(2))+b* sqrt(1+x^(2))+C

If int(1)/((x^(2)-1))ln((x-1)/(x+1))dx=6A[ln ((x-1)/(x+1))]^(2)+C , then find 24 A.

The domain of f(x)=(log(sin^(-1)sqrt(x^(2)+x+1)))/(log(x^(2)-x+1)) is

int 5^(x+1)*e^(2x-1)dx=....+c

((log)_(10)(x-3))/((log)_(10)(x^2-21))=1/2

A= {1, 2, 3, 4, 5}, B= {1, 3, 5, 6}, C= {1, 2, 3} , then find the following sets. B- C