Chapter 6.4, Problem 33E

Integrate using the fundamental theorem of calculus

Show that /I +x 0.

Use substitution to evaluate the integral 4 sec2 4xy/tan 4xdx 2 4 15 3 3 (tan 4x)? + C 3 (tan 4x) + C 3 (tan 4x)3 + C 4 2 (tan 4x) + C

Evaluate the integral 1 3 sec² 0 6 + 8 tan 0 do

Evaluate each integral in Exercises 47-50 by reducing the improper fraction and using a substitution (if necessary) to reduce it to standard form. 47. 48. -dx 49. de 2x3 dx 50.472-737 de 2x + +1