Hello I need help with the following Problems. Please and thank you.

Use symmetry to evaluate the following integral. 1 / 4 3 sec 2x dx - 1/ 4 3 sec 2x dx = - 1/4Find an antiderivative of the following function by trial and error. Check your answer by differentiating sin 14x dx sin 14x dx =12x (x2 -6) 30 dx Determine a change of variables from x to u. Choose the correct answer below. O A. =X O B. u= (x2 -6) 96 O c. U = 2x OD. U= X2 - 6 Write the integral in terms of u. |2x ( x2 - 6)90 dx = - du Evaluate the integral. 2x ( x 2 - 6) 96 dx =Use a change of variables to evaluate the following indefinite integral. (Vx +5) 4 dx 2VX Determine a change of variables from x to u. Choose the correct answer below. O A. US 2VX OB. u= (V X +5)4 O C. u= VX OD. U= 1X +5Write the integral in terms of u. (vx +5) 4 dx = du 2VX Evaluate the integral. (Vx+5) 4 dx = 21xUse a change of variables to evaluate the following indefinite integral. x 4 (x5 + 11 ) 5 dx Determine a change of variables from x to u. Choose the correct answer below. O A. u= (x5+11) OB. u=X" + 11 O C. u= 5x4 OD. U=xWrite the integral in terms of u. x* ( x5 + 11) 5 ax= JC du Evaluate the integral. 4 (x 5 + 19 ) 5 dx =