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" 7."int(0)^(1)(dx)/(1+x)=...

" 7."int_(0)^(1)(dx)/(1+x)=

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int_(0)^(1)(x)/(x+1)dx=

int_(0)^(1)(1)/(1+x)dx=

int_(0)^(1)(dx)/((1+x^(2))

int_(0)^(1) x dx

int_(0)^(1) x dx

int_(0)^(1)(1-x)^(9)dx=

int_(0)^(1)(1-x)^(9)dx=

Prove that , int_(0)^(1)(dx)/(x^(2)+4x+5)=tan^(-1).(1)/(7)

Evaluate : (i) int_(0)^(1//2)(dx)/(sqrt(1-x)) (ii) int_(0)^(1)((1-x)/(1+x))dx

Show that :int_(0)^(1)(log x)/((1+x))dx=-int_(0)^(1)(log(1+x))/(x)dx