(This hint gives away part of the problem, but that's OK, we're all friends here in WebWork. If for some reason you happen to need to enter an inverse trigonometric function, it's best to use the "arc" format: such as, the inverse sine of x² can be entered as "arcsin(x^3)".) 2x 2x Find / dx and evaluate 1.⁰ dx 7+7x¹ 7+7x¹ The ideal substitution in either case is u (Hint: Can you factor out any constants before deciding on a substitution?) The substitution changes the integrand in both integrals to some function of u, say G(u); factor out all constants possible, and give the updated version of the indefinite integral: с c/Gu du G(u) du = Having found the indefinite integral and returned to the original variable, the final result is: 2x dx = 7+7x4 For the definite integral, the substitution provides new limits of integration as follows: The lower limit x = 0 becomes u The upper limit x = 3 becomes u The final value of the definite integral is: $3 2x 7+7x¹ dx = (Data Entry: Be sure to use capital +C as your arbitrary constant where needed.)