* 17. solve the integration (2 Points) Setan x+2 In(secx) dx = sec? x + c...
Stan®x.secs x dx tanºx a) 2 tan' x tanºx + +c 5 sec b) 2 sec + secx 5 + c 9 sec? sec5 x c) + c d) None of the above
-1 -1 d. + = = 2 tan x tan x-sec x tan x + secx
Evaluate the integrals.
Íx” dx = ſx=3 dx = (x-3) secx tan x dx = j(x?- Var)dx=
Verify that the equation is an identity. sin x cOS X secx + = sec?x-tan? CSC X Both sides of this identity look similarly complex. To verify the identity, start with the left side and simplify it. Then work with the right side and try to simplify it to the same result. Choose the correct transformations and transform the expression at each step COS X sin x secx CSC X The left-hand side is simplified enough now, so start working...
Verify that the equation is an identity. sec *x-tan 4x = 2 sec 2-1 To verify the identity, start with the more complicated side and transform it to look like the other side. Choose the correct transformations and transfer sec 4x-tan 4x = sec?x + tan x) Factor the difference of two squares. O(secx+ tanºx) (Type an exact answer in simplified form.) Choose an identity, and use it to transform tan-x. Then simplify. = 2 secx-1 7
cos'x dx sin 3x dx 2. an 45 sin cos'xdx 4 sin'xcos'x dr 44 sin'x cos'r dr 6. sin'xcosx dx 8. Jo sin'x cosx dx fa-sin 2x)' dx sin x + cos x dx 10. 9 f sin'z dx cos'x sin'x d 12. 11 sin'x Vcosx dx 14. 13. cot'r sin'x dx 16. cos'x tan'xdx 15 dx sin x dx 18. 17 1-sin x cos x tan'x dx 20. tanx dx 19 sec'x d sec'x dx 22. 21 tan'x secxdx...
Evaluate each integral (a) (x² + x) dx (b) 6.** (secx + tanx)2 dx
Verify that the equation is an identity. secºx- tan x=2 sec?x-1 To verify the identity, start with the more complicated side and transform it to look like the other side. Choose the correct transformations and transform the e each step Factor the ecºx - tanx= (sec?x+tan tan) two squares. sec difference of (Тут sec?x-2 sec x tan x + tan x sec?x+2 sec x tanx + tanx sec?x + tanx secx-tan? Choose an identity, ar 2. ary ans se y...
Evaluate the integral. (Remember to use absolute values where appropriate. Use C for the constant of integration.)3 tan2(x) sec(x) dx
Find dy/dx of the next relations
12)y - cor +4 13) y [sec (secx)] 14) y [Be"ae ] 15) y = [ vsec(x2 +8) arcsen(x + 8))
12)y - cor +4 13) y [sec (secx)] 14) y [Be"ae ] 15) y = [ vsec(x2 +8) arcsen(x + 8))