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तामिळनाडू बोर्ड ऑफ सेकेंडरी एज्युकेशनएचएससी विज्ञान इयत्ता ११

Choose the correct alternative: d∫x2cosx dx is

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प्रश्न

Choose the correct alternative:

`int x^2 cos x  "d"x` is

पर्याय

  • x2 sin x + 2x cos x – 2 sin x + c

  • x2 sin x – 2x cos x – 2 sin x + c

  • – x2 sin x + 2x cos x + 2 sin x + c

  • – x2 sin x – 2x cos x + 2 sin x + c

MCQ
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उत्तर

x2 sin x + 2x cos x – 2 sin x + c

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  या प्रश्नात किंवा उत्तरात काही त्रुटी आहे का?
पाठ 11: Integral Calculus - Exercise 11.13 [पृष्ठ २२६]

APPEARS IN

सामाचीर कलवी Mathematics - Volume 1 and 2 [English] Class 11 TN Board
पाठ 11 Integral Calculus
Exercise 11.13 | Q 15 | पृष्ठ २२६

संबंधित प्रश्‍न

Find the volume of solid generated by rotating the area bounded by x2+y2 =36 and the lines x = 0, x = 3 about X -axis. 


Integrate the following functions with respect to x :

cot2x + tan2x


Integrate the following functions with respect to x :

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


Integrate the following functions with respect to x :

sin2 5x


Integrate the following functions with respect to x :

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


Integrate the following with respect to x :

`("cosec"  x)/(log(tan  x/2))`


Integrate the following with respect to x:

x sin 3x


Integrate the following with respect to x:

x2 cos x


Integrate the following with respect to x:

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


Integrate the following with respect to x:

`"e"^(- 3x) sin 2x`


Integrate the following with respect to x:

`"e"^x sec x(1 + tan x)`


Integrate the following with respect to x:\

`logx/(1 + log)^2`


Find the integrals of the following:

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


Integrate the following with respect to x:

`(2x - 3)/(x^2 + 4x - 12)`


Integrate the following functions with respect to x:

`sqrt(9 - (2x + 5)^2`


Choose the correct alternative:

The gradient (slope) of a curve at any point (x, y) is `(x^2 - 4)/x^2`. If the curve passes through the point (2, 7), then the equation of the curve is


Choose the correct alternative:

`int "e"^(- 4x) cos   "d"x` is


Choose the correct alternative:

`int x^2 "e"^(x/2)  "d"x` is


Choose the correct alternative:

`int (x + 2)/sqrt(x^2 - 1)  "d"x` is


Choose the correct alternative:

`int "e"^(sqrt(x)) "d"x` is


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