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Choose the correct alternative: The value of d∫-44[tan-1 (x2x4+1)+tan-1(x4+1x2)]dx is - Mathematics

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प्रश्न

Choose the correct alternative:

The value of `int_(-4)^4 [tan^-1  ((x^2)/(x^4 + 1)) + tan^-1 ((x^4 + 1)/x^2)] "d"x` is

पर्याय

  • `pi`

  • `2pi`

  • `3pi`

  • `4pi`

MCQ

उत्तर

`4pi`

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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]

APPEARS IN

सामाचीर कलवी Mathematics - Volume 1 and 2 [English] Class 12 TN Board
पाठ 9 Applications of Integration
Exercise 9.10 | Q 5 | पृष्ठ १४०

संबंधित प्रश्‍न

Evaluate the following definite integrals:

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


Evaluate the following definite integrals:

`int_0^(pi/2) "e"^x((1 + sin x)/(1 + cos x))"d"x`


Evaluate the following definite integrals:

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


Evaluate the following definite integrals:

`int_0^1 (1 - x^2)/(1 + x^2)^2  "d"x`


Evaluate the following integrals using properties of integration:

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


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 (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`


Evaluate the following integrals using properties of integration:

`int_0^pi x[sin^2(sin x) cos^2 (cos x)] "d"x`


Choose the correct alternative:

For any value of n ∈ Z, `int_0^pi "e"^(cos^2x) cos^3[(2n+ 1)x]  "d"x` is


Choose the correct alternative:

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


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