मराठी
तामिळनाडू बोर्ड ऑफ सेकेंडरी एज्युकेशनएचएससी विज्ञान इयत्ता ११

Choose the correct alternative: d∫x+2x2-1 dx is

Advertisements
Advertisements

प्रश्न

Choose the correct alternative:

`int (x + 2)/sqrt(x^2 - 1)  "d"x` is

पर्याय

  • `sqrt(x^2  - 1) - 2log |x + sqrt(x^2 - 1)| + "c"`

  • `sin^-1x - 2log |x + sqrt(x^2 - 1)| + "c"`

  • `2log |x + sqrt(x^2 - 1)| - sin^-1x + "c"`

  • `sqrt(x^2  - 1) + 2log |x + sqrt(x^2 - 1)| + "c"`

MCQ
Advertisements

उत्तर

`sqrt(x^2  - 1) + 2log |x + sqrt(x^2 - 1)| + "c"`

shaalaa.com
  या प्रश्नात किंवा उत्तरात काही त्रुटी आहे का?
पाठ 11: Integral Calculus - Exercise 11.13 [पृष्ठ २२७]

APPEARS IN

सामाचीर कलवी Mathematics - Volume 1 and 2 [English] Class 11 TN Board
पाठ 11 Integral Calculus
Exercise 11.13 | Q 22 | पृष्ठ २२७

संबंधित प्रश्‍न

Find the volume of the solid obtained by revolving about the X-axis, the region bounded by the curve `"x"^2/4 - "y"^2/9 = 1` and the lines x = 2 , x = 4.


Integrate the following functions with respect to x :

(2x – 5)(3x + 4x)


Integrate the following functions with respect to x :

`(1 + cos 4x)/(cos x - tan x)`


Integrate the following functions with respect to x :

`"e"^(x log "a") "e"^x`


Integrate the following functions with respect to x :

`1/((x - 1)(x + 2)^2`


Integrate the following with respect to x :

`("e"^x - "e"^-x)/("e"^x + "e"^-x)`


Integrate the following with respect to x:

9xe3x


Integrate the following with respect to x:

`(x sin^-1 x)/sqrt(1 - x^2)`


Integrate the following with respect to x:

`tan^-1 ((8x)/(1 - 16x^2))`


Integrate the following with respect to x:

`sin^-1 ((2x)/(1 + x^2))`


Integrate the following with respect to x:

`"e"^(- 4x) sin 2x`


Find the integrals of the following:

`1/(4 - x^2)`


Integrate the following with respect to x:

`(5x - 2)/(2 + 2x + x^2)`


Integrate the following with respect to x:

`(2x + 3)/sqrt(x^2 + 4x + 1)`


Integrate the following functions with respect to x:

`sqrt(x^2 + 2x + 10)`


Integrate the following functions with respect to x:

`sqrt((x + 1)^2 - 4)`


Choose the correct alternative:

`int ("e"^x (1 + x))/(cos^2(x"e"^x))  "d"x` is


Choose the correct alternative:

`int ("e"^(6 log x) - "e"^(5logx))/("e"^(4logx) - "e"^(3logx))  "d"x` is


Choose the correct alternative:

`int 2^(3x + 5)  "d"x` is


Choose the correct alternative:

`int "e"^(- 4x) cos   "d"x` is


Share
Notifications

Englishहिंदीमराठी


      Forgot password?
Use app×