1. ## Integrals_Problems_Avrum

i have solved many integrals problems , but with these I didn't succseed

$\int sin(2x-3)dx=$

$\int \frac{sinx-cosx}{sinx+cosx}dx=$

$\int \frac{x^5}{x^2+2}dx=$

$\int a^xe^xdx=$

2. try for the third

$
\int \frac{x^5}{x^2+2}~dx=\int x^3-2x+\frac{4x}{x^2+2}~dx
$

3. Originally Posted by gilyos
i have solved many integrals problems , but with these I didn't succseed

$\int sin(2x-3)~dx=$
Note that

$\int \sin(ax)dx = -\frac{1}{a}\cos(ax)+C$

4. Consider

$\frac{\sin(x) - \cos(x) }{ \sin(x) + \cos(x) } = \frac{\tan(x) - 1 }{ \tan(x) + 1 }$

$= \tan( x - \frac{\pi}{4} )$