Please find G(u) + C and correct if any answers are wrong. Set u = sec(8 · x) + tan(8 x).• Step 1:du8( sec(8x tan(8x)) + sec2(8æ))dxStep 2:dus(se(8z tan(82 + sece*(82))dx8| sec| 8x tan| 8x + sec"(8xStep 3:sec? (8 · x) + sec(8 x) tan(8 · æ)dxsec(8 · x) + tan(8 · x)with g(u)%D18uG(u) + Cwith G(u) =F(x) + Cwith F(x)In sec (8x) + tan(x)|Part 2: Use the abOve to boln un|00

We need to find the given integral: ∫sec28x+sec8x·tan8xsec8x+tan8x dx

Set u = sec (8x) + tan(8 - x). • Step 1: ● ● ● du dx Step 2: = dx = Step 3: 8( sec (8x tan (8x)) + sec² (82)) du 8( sec (8z tan (8z + sec² (87)))) . . ec² (8 x) + sec(8 - x) · tan(8 - x) sec(8 x) + tan(8 - x) =))₁ dx = = = fo(u)du with g(u) = 1 8u G(u) + C with G(u) = F(x) + C with F(x)= = 1 In sec (82) + tan(z) |

Set u = sec (8x) + tan(8 - x). • Step 1: ● ● ● du dx Step 2: = dx = Step 3: 8( sec (8x tan (8x)) + sec² (82)) du 8( sec (8z tan (8z + sec² (87)))) . . ec² (8 x) + sec(8 - x) · tan(8 - x) sec(8 x) + tan(8 - x) =))₁ dx = = = fo(u)du with g(u) = 1 8u G(u) + C with G(u) = F(x) + C with F(x)= = 1 In sec (82) + tan(z) |

Calculus For The Life Sciences

2nd Edition

ISBN:9780321964038

Author:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.

Publisher:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.

Chapter4: Calculating The Derivative

Section4.2: Derivatives Of Products And Quotients

Problem 35E

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