मराठी
तामिळनाडू बोर्ड ऑफ सेकेंडरी एज्युकेशनएचएससी विज्ञान इयत्ता ११

Choose the correct alternative: eed∫ex(1+x)cos2(xex) dx is

Advertisements
Advertisements

प्रश्न

Choose the correct alternative:

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

पर्याय

  • `cot(x"e"^x) + "c"`

  • `sec(x"e"^x) + "c"`

  • `tan(x"e"^x) + "c"`

  • `cos(x"e"^x) + "c"`

MCQ
Advertisements

उत्तर

`tan(x"e"^x) + "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 5 | पृष्ठ २२५

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 :

cot2x + tan2x


Integrate the following functions with respect to x :

`(8^(1 + x) + 4^(1 - x))/2^x`


Integrate the following functions with respect to x :

`(x + 1)/((x + 2)(x + 3))`


Integrate the following with respect to x :

`x^2/(1 + x^6)`


Integrate the following with respect to x :

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


Integrate the following with respect to x :

`(sin sqrt(x))/sqrt(x)`


Integrate the following with respect to x :

`("cosec"  x)/(log(tan  x/2))`


Integrate the following with respect to x:

x sec x tan x


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"^(2x) sinx`


Integrate the following with respect to x:

`"e"^x ((x - 1)/(2x^2))`


Find the integrals of the following:

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


Integrate the following with respect to x:

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


Choose the correct alternative:

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


Choose the correct alternative:

`int secx/sqrt(cos2x)  "d"x` is


Choose the correct alternative:

`int tan^-1 sqrt((1 - cos 2x)/(1 + cos 2x))  "d"x` is


Choose the correct alternative:

`int ("d"x)/("e"^x - 1)` is


Choose the correct alternative:

`int (sec^2x)/(tan^2 x - 1)  "d"x`


Share
Notifications

Englishहिंदीमराठी


      Forgot password?
Use app×