Indefinite Integration 2 ..

1. ∫ (cos 5x +cos 4x) / (1- 2 cos 3x ) dx

2. ∫ ( cos3 x ) . x. elog(sin x) .dx

3. ∫ ( x + (3 x 2 ) + 2. x1/6 ) / [ x. { 1+3x } ]

3 Answers

2305
Shaswata Roy ·

1) ∫cos 5x+cos 4x1-2 cos 3xdx

=∫2cos(9x/2).cos(x/2)1-2{2cos2(3x/2)-1}dx

=∫2cos(9x/2).cos(x/2).cos(3x/2)3cos(3x/2)-4cos3(3x/2)dx

=∫2cos(9x/2).cos(x/2).cos(3x/2)-cos(9x/2)dx

= - ∫ 2cos(3x/2)cos(x/2) dx

= - ∫ cos(2x)+cos(x)dx

= -sin(2x)2-sin(x)+c

1357
Manish Shankar ·

for second apply by parts

1357
Manish Shankar ·

For thiird take x1/6=t and proceed

Your Answer

Close [X]