Find the integrals in Problems 3-14. (You can always check your answers by differentiating!)\ 3.

\\\\int sin(3-t)dt

\ 4.

\\\\int tan(2x)dx

\ 5.

\\\\int (dx)/(1+2x^(2))

\ 6.

\\\\int (1+e^(x))/(\\\\sqrt(x+e^(x)))dx

\ 7.

\\\\int t^(2)e^(5t)dt

\ 8.

\\\\int sin^(2)\\\\theta d\\\\theta

\ 9.

\\\\int (lnt)^(2)dt

\ 10.

\\\\int ln(x^(2))dx

\ 11.

\\\\int (\\\\theta +1)sin(\\\\theta +1)d\\\\theta

\ 12.

\\\\int xarctanx^(2)dx

\ 13.

\\\\int y\\\\sqrt(y+1)dy

\ 14.

\\\\int g^(')(x)\\\\sqrt(1+g(x))dx

Find the integrals in Problems 3-14. (You can always check your answers by differentiating!) 3. sin(3t)dt 4. tan(2x)dx 5. 1+2x2dx 6. x+ex1+exdx 7. t2e5tdt 8. sin2d 9. (lnt)2dt 10. ln(x2)dx 11. (+1)sin(+1)d 12. xarctanx2dx 13. yy+1dy 14. g(x)1+g(x)dx