`int_(0)^(pi//4)(tan^(4)x + tan^(2)x)dx=`

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int_(0)^(pi//4)(tan^(4)x+tan^(3)x)dx=

int_(0)^( pi/4)tan^(3)dx

A:int_(0)^(pi//4)(tan^(6)x+tan^(4)x)dx=(1)/(5) R:int_(0)^(pi//4)(tan^(n)x+tan^(n-2)x)dx=(1)/(n-1)

The value of integral I = int_(0)^(pi//4) (tan^(2)x + 2sin^(2)x) dx is:

int_(0)^(pi//4) tan x dx

int_(0)^(pi//4) tan^(5) x dx=

int_(0)^(pi//4) tan^(6) x dx=

int_(0)^(pi//4)e^(x)(1+tan x + tan^(2)x)dx=

int _(0) ^(pi//4) tan^(2) x " " dx=

I=int_(0)^( pi/4)(tan^(-1)x)^(2)/(1+x^2)dx