`int( sin x*cos^(4)x)dx`

int(sin^(4)x-cos^(4)x)dx=

int(sin^(4)x+cos^(4)x)dx=

" (8) "int_(0)^( pi)sin x*cos^(4)x*dx

int_(0)^( pi)x*sin x*cos^(4)x*dx

int sin^(4)x*cos^(3)x*dx

int(sin^(4)x+cos^(3)x)dx

int(sin^(4)x+cos^(3)x)dx

Let f(x)=[b^(2)+(a-1)b+2]x-int(sin^(2)x+cos^(4)x)dx be an increasing function of x""inRandbinR , then a can take value(s)

If f(x)={b^(2)+(a-1)b+2}x-int(sin^(2)x+cos^(4)x)dx be an increasing function of xepsilonR and bepsilonR , then a can take value (s)

Find the following integrals: ( i ) int(sin x+cos x)dx( ii) int cos ecx(cos ecx+cos x)dx( iii) int(1-sin x)/(cos^(2)x)dx