sin(ax)cos(bx) 1

(yiO) f sin axcos bxdx =

u = sin ax v' = cos bx

u = acosax v = —sin bx b

1    ar

= —sin <oxsin bx~— cos<2xsin bxdx b    b^J

1    ar

= - — cosaxcosbx~— sin ax cos bxdx b    b^J

| cos(2Xsin bxdx =

u = cos ax v' = sin bx

u' = —a sin ax v = —— cosbx b

■    1    a

sin ax cos bxdx = — sin axs\nbx~ — b    b

1    ar

-—cosax-cosbx~— sinaxcosbxdx b    b^J

I sin<£Ycostaz£x: = isin<2xsin6;t+-icosćzxcos&;t+^r I sin axcosbxdx

^J    b    b‘    y^J

(a + i))]

'    1    a

1-p- 11 sin<3xcos6^£x = —I cos( x(a-b 11-cosi x(a + b 11] +    ! cosi x(a-b I l + cosb

1 b^ " 1

| sin axcosbxdx = — ---j T-f cos(x(<z — b ) j- cos( x{a-\-b) j) +