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Choose the correct alternative: d∫x2cosx dx is - Mathematics

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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

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

Evaluate:`int(tansqrtx)/sqrtxdx`


Integrate the following functions with respect to x :

`(cos 2x)/(sin^2x cos^2x)`


Integrate the following functions with respect to x :

`(3x + 4) sqrt(3x + 7)`


Integrate the following functions with respect to x :

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


Integrate the following functions with respect to x :

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


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 :

`cosx/(cos(x - "a"))`


Integrate the following with respect to x:

x sin 3x


Integrate the following with respect to x:

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


Find the integrals of the following:

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


Find the integrals of the following:

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


Integrate the following with respect to x:

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


Integrate the following with respect to x:

`(2x + 1)/sqrt(9 + 4x - x^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"^x (1 + x))/(cos^2(x"e"^x))  "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 1/(x sqrt(log x)^2 - 5)  "d"x` is


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