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" Q1."(" i) "int(a)^(a+10 pi)(|sin x|+|c...

" Q1."(" i) "int_(a)^(a+10 pi)(|sin x|+|cos x|)dx

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int_(0)^(10 pi)(|sin x|+|cos x|)dx is equal to

int_(pi)^(10pi) |sin x| dx=

int_(0)^( pi/2)(sin x)/(1+cos x)dx

int_(0)^( pi)(1)/(1+(sin x)^(cos x))dx

int_(0)^(pi//2) x sin x cos x dx

int_(0)^( pi)(sin x)/(1+cos^(2)x)dx =

I= int_(0)^( pi)(x)/(1+sin x cos alpha)dx

int_(0)^((pi)/(2))(x)/(sin x+cos x)dx

int_ (0) ^ (10 pi) (| sin x | + | cos x |) dx = 40

int_(0)^(pi//2) (sin x)/(1 +cos^2) dx .