Identify the bext choice for u and then compute du You do no

Identify the bext choice for u, and then compute du. You do not need to evaluate the integral. integral x^3 squareroot x^4 + 1dx integral xe^x^2 dx integral e^x/e^x +1dx integral sin^2 x cosx dx

Solution

In these type of integrals we try to substitute a specific value for u so that dx can be suitably converted to du.

7. u= x⁴ + 1 Hence du=4x³dx

8. u = x² Hence du= 2.x.dx

9. u= e^x + 1 Hence, du= e^xdx

10. u = sin(x) Hence du=cos(x).dx

11. u= ln x Hence du= 1/x dx