2 1) f(x² + 3)dx; 2 2 1 2) [(2x³ +)dx; 1 π/4 3) ∫( 0 1 x² 5 + 2sinx)dx; 2 cos x 4) ∫(4e* 0 π/3 + 1 √1-x² 5) [4cos3xdx; π/4 3 4dx 6) [5+7x -5 √3 7) [ 2xdx -; √x² +1 2 -);

Разбираемся:

1. \(\int_{2}^{5} (x^2 + 3) dx\)
2. \(\int_{1}^{2} (2x^3 + \frac{1}{x^2}) dx\)
3. \(\int_{0}^{\frac{\pi}{4}} (\frac{5}{cos^2x} + 2sin x) dx\)
4. \(\int_{0}^{1} (4e^x + \frac{1}{\sqrt{1-x^2}}) dx\)
5. \(\int_{\frac{\pi}{4}}^{\frac{\pi}{3}} 4cos3x dx\)
6. \(\int_{-5}^{3} \frac{4dx}{5+7x}\)
7. \(\int_{0}^{\sqrt{3}} \frac{2xdx}{\sqrt{x^2+1}}\)