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(vi)int tan^(-1)((x-5)/(1+5x))dx...

(vi)int tan^(-1)((x-5)/(1+5x))dx

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Evaluate : int tan^(-1)((x-5)/(1+5x))dx

If int_(0)^(1) tan^(-1) x dx = p , then the value of int_(0)^(1) tan^(-1)((1-x)/(1 +x)) dx is

If int_(0)^(1) tan^(-1) x dx = p , then the value of int_(0)^(1) tan^(-1)((1-x)/(1 +x)) dx is

int tan^(5)x dx=

(i) int(1)/((1+x^(2))tan ^(-1) x )dx " "(ii) int(e^(tan^(-1)x))/(1+x^(2))dx

(i) int(1)/((1+x^(2))tan ^(-1) x )dx " "(ii) int(e^(tan^(-1)x))/(1+x^(2))dx

(d)/(dx)[tan^(-1)((6x)/(1+7x^(2)))]+(d)/(dx)[tan^(-1)((5+2x)/(2-5x))]=

int(tan^(-1)x+x+tan^(-1)((1)/(x)))dx =

" (5) "int_(0)^(1)(tan^(-1)x)/(1+x^(2))dx

int(1)/(x(x^(5)+1))dx