मराठी
तामिळनाडू बोर्ड ऑफ सेकेंडरी एज्युकेशनएचएससी विज्ञान इयत्ता ११

Choose the correct alternative: eeeed∫e6logx-e5logxe4logx-e3logx dx is

Advertisements
Advertisements

प्रश्न

Choose the correct alternative:

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

पर्याय

  • x + c

  • `x^3/3 + "c"`

  • `3/x^3 + "c"`

  • `1/x^2 + "c"`

MCQ
Advertisements

उत्तर

`x^3/3 + "c"`

shaalaa.com
  या प्रश्नात किंवा उत्तरात काही त्रुटी आहे का?
पाठ 11: Integral Calculus - Exercise 11.13 [पृष्ठ २२५]

APPEARS IN

सामाचीर कलवी Mathematics - Volume 1 and 2 [English] Class 11 TN Board
पाठ 11 Integral Calculus
Exercise 11.13 | Q 8 | पृष्ठ २२५

संबंधित प्रश्‍न

Find the volume of the solid generated by the complete revolution of the ellipse `"x"^2/36 + "y"^2/25 = 1` about Y-axis.


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 :

`[sqrt(x) + 1/sqrt(x)]^2`


Integrate the following functions with respect to x :

(2x – 5)(3x + 4x)


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 functions with respect to x :

`(3x - 9)/((x - 1)(x + 2)(x^2 + 1))`


Integrate the following with respect to x :

`(10x^9 + 10^x log_"e" 10)/(10^x + x^10)`


Integrate the following with respect to x :

`alpha beta  x^(alpha - 1)  "e"^(- beta x^alpha)`


Integrate the following with respect to x:

9xe3x


Integrate the following with respect to x:

x3 sin x


Integrate the following with respect to x:

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


Integrate the following with respect to x:

`"e"^x ((2 + sin 2x)/(1 + cos 2x))`


Find the integrals of the following:

`1/(4 - x^2)`


Find the integrals of the following:

`1/(25 - 4x^2)`


Choose the correct alternative:

`int secx/sqrt(cos2x)  "d"x` is


Choose the correct alternative:

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


Choose the correct alternative:

`int "e"^(- 4x) cos   "d"x` is


Choose the correct alternative:

`int (sec^2x)/(tan^2 x - 1)  "d"x`


Share
Notifications

Englishहिंदीमराठी


      Forgot password?
Use app×