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Choose the correct alternative: The value of d∫0πdx1+5cosx is - Mathematics

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प्रश्न

Choose the correct alternative:

The value of `int_0^pi ("d"x)/(1 + 5^(cosx))` is

पर्याय

  • `pi/2`

  • π

  • `(3pi)/2`

MCQ

उत्तर

`pi/2`

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Fundamental Theorems of Integral Calculus and Their Applications
  या प्रश्नात किंवा उत्तरात काही त्रुटी आहे का?
पाठ 9: Applications of Integration - Exercise 9.10 [पृष्ठ १४०]

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सामाचीर कलवी Mathematics - Volume 1 and 2 [English] Class 12 TN Board
पाठ 9 Applications of Integration
Exercise 9.10 | Q 10 | पृष्ठ १४०

संबंधित प्रश्‍न

Evaluate the following definite integrals:

`int_3^4 (d"x)/(x^2 - 4)`


Evaluate the following definite integrals:

`int_(-1)^1 ("d"x)/(x^2 + 2x + 5)`


Evaluate the following definite integrals:

`int_0^1 sqrt((1 - x)/(1 + x)) "d"x`


Evaluate the following definite integrals:

`int_0^(pi/2) sqrt(cos theta) sin^3theta  "d"theta`


Evaluate the following integrals using properties of integration:

`int_(- pi/2)^(pi/2) (x^5 + x cos x + tan^3 x + 1)  "d"x`


Evaluate the following integrals using properties of integration:

`int_(- pi/4)^(pi/4) sin^2x  "d"x`


Evaluate the following integrals using properties of integration:

`int_0^(2pi) x log((3 + cosx)/(3 - cosx)) "d"x`


Evaluate the following integrals using properties of integration:

`int_0^pi sin^4 x cos^3 x  "d"x`


Evaluate the following integrals using properties of integration:

`int_0^1 |5x - 3|  "d"x`


Evaluate the following integrals using properties of integration:

`int_0^(sin^2x) sin^-1 sqrt("t")  "dt" + int_0^(cos^2x) cos^-1 sqrt("t")  "dt"`


Evaluate the following integrals using properties of integration:

`int_0^1 (log(1 + x))/(1 + x^2)  "d"x`


Evaluate the following integrals using properties of integration:

`int_0^pi(xsinx)/(1 + sinx)  "'d"x`


Evaluate the following integrals using properties of integration:

`int_(pi/8)^((3pi)/8) 1/(1 + sqrt(tan x))  "d"x`


Choose the correct alternative:

The value of `int_(- pi/2)^(pi/2) sin^2x cos x  "d"x` is


Choose the correct alternative:

The value of `int_(- pi/4)^(pi/4) ((2x^7 - 3x^5 + 7x^3 - x + 1)/(cos^2x)) "d"x` is


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