Помогите пожалуйста

Решите задачу:

$1. f(x)=x^6-5sinx+5$
$\displaystyle \int(x^6-5sinx+5)dx= \frac{x^7}{7}+5cosx+5x+C$

$2. f(x)=-3sinx$
$F(x)=3cosx+C$
$5=3cosx0+C$
$C=2$
$F(x)=3cosx+2$

$\displaystyle 3. \int^0_{-1} \frac{1}{2} e^x dx= \frac{e^x}{2} \bigg|^0_{-1}= \frac{1}{2}- \frac{1}{2e}= \frac{2e-2}{4e}= \frac{e-1}{2e}$

$\displaystyle 4. S=\int^{\pi/6}_{-\pi/6}cos2xdx= \frac{1}{2}sin2x \bigg|^{\pi/6}_{- \pi/6}= \frac{sin \frac{2 \pi }{6} }{2}-( \frac{sin(- \frac{2 \pi }{6}) }{2})=$
$\displaystyle = \frac{ \sqrt{3}}{2}* \frac{1}{2}+ \frac{\sqrt{3}}{2}* \frac{1}{2}= \frac{2 \sqrt{3}}{4}= \frac{\sqrt{3}}{2}$