(x^(3)sin(tan^(-1)x^(4)))/(1+x^(8))

Integrate the functions (x^3sin(tan^(-1)x^4)/(1+x^8)

Integrate the functions (x^3sin(tan^(-1)x^4)/(1+x^8)

Integrate the function (x^3sin(tan^-1x^4))/(1+x^8)

(x^3sin(tan^(- 1)x^4))/(1+x^8)

Find the integral intfrac[x^3sin(tan^(-1)x^4)][1+x^8]dx

Evaluate: (i) cot((sin^(-1)3)/(4)+(sec^(-1)4)/(3))( ii) sin(tan^(-1)x+(tan^(-1)1)/(x)) for x<0

Evaluate: (i) cot(sin^(-1)(3/4)+sec^(-1)(4/3)) (ii) sin(tan^(-1)x+tan^(-1)(1/x)) for x<0

Prove that: i) sin^(-1)(3x-4x^(3))=3sin^(-1)x, |x| le 1/2 ii) cos^(-1)(4x^(2)-3x)=3cos^(-1)x,1/2 le x le 1 iii) tan^(-1)""(3x-x^(3))/(1-3x^(2))=3tan^(-1)x, |x| lt 1/sqrt(3) iv) tan^(-1)x+tan^(-1)""(2x)/(1-x^(2))=tan^(-1)""(3x-x^(3))/(1-3x^(2))

Statement-1: sin^(-1)tan((tan^(-1))x+tan^(-1)(1-x))] =(pi)/(2) has no non zero integral solution Statement-2: The greatest and least values of (sin^(-1)x)^(3)+(cos^(-1)x)^(3) are (7pi)^(3)/(8) and (pi)^(3)/(32) respectively

Statement-1: sin^(-1)tan((tan^(-1))x+tan^(-1)(1-x))] =(pi)/(2) has no non zero integral solution Statement-2: The greatest and least values of (sin^(-1)x)^(3)+(cos^(-1)x)^(3) are (7pi)^(3)/(8) and (pi)^(3)/(32) respectively