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" 7."(log|x|)^(sin x)...

" 7."(log|x|)^(sin x)

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log(sin x^2)

For 0 lt x lt (pi)/(2) , let P_(mn)(x)=m log_(cos x) ( sin x)+ n log_(cos x)(cotx) , where m, n in {1, 2,...,9} [For example: P_(29)(x)=2log_(cosx)(sinx)+9log_(cos x)( cot x) and " " P_(77)(x)=7 log_(cos x)(sin x)+(7 log_(cos x) ( cot x) ] On the basis of above information, answer the following questions : If P_(34)(x)=P_(22)(x) , then the value of sin x is expressed as ((sqrt(q)-1)/(p)) , then (p+q) equals

For 0 lt x lt (pi)/(2) , let P_(mn)(x)=m log_(cos x) ( sin x)+ n log_(cos x)(cotx) , where m, n in {1, 2,...,9} [For example: P_(29)(x)=2log_(cosx)(sinx)+9log_(cos x)( cot x) and " " P_(77)(x)=7 log_(cos x)(sin x)+(7 log_(cos x) ( cot x) ] On the basis of above information, answer the following questions : If P_(34)(x)=P_(22)(x) , then the value of sin x is expressed as ((sqrt(q)-1)/(p)) , then (p+q) equals

For 0 lt x lt (pi)/(2) , let P_(mn)(x)=m log_(cos x) ( sin x)+ n log_(cos x)(cotx) , where m, n in {1, 2,...,9} [For example: P_(29)(x)=2log_(cosx)(sinx)+9log_(cos x)( cot x) and " " P_(77)(x)=7 log_(cos x)(sin x)+(7 log_(cos x) ( cot x) ] On the basis of above information, answer the following questions : If P_(34)(x)=P_(22)(x) , then the value of sin x is expressed as ((sqrt(q)-1)/(p)) , then (p+q) equals

For 0 lt x lt (pi)/(2) , let P_(mn)(x)=m log_(cos x) ( sin x)+ n log_(cos x)(cotx) , where m, n in {1, 2,...,9} [For example: P_(29)(x)=2log_(cosx)(sinx)+9log_(cos x)( cot x) and " " P_(77)(x)=7 log_(cos x)(sin x)+(7 log_(cos x) ( cot x) ] On the basis of above information, answer the following questions : If P_(34)(x)=P_(22)(x) , then the value of sin x is expressed as ((sqrt(q)-1)/(p)) , then (p+q) equals

(cot x)/(log (sin x))

log (sin ^(-1)x)

log (sin ^(-1)x)

int_(t_(0))^(pi)(x^(sin x)((cos x log x)+(sin x)/(x))dx is equal