Question

Please answer and show work for all three questions. Thank You

1)

Evaluate the integral. S x tanạ xdx O tan x – In | sec x | -5x2 + C O tan x - 3x2 +C o – tan x – In | sec x | x3 +C O x tan x – In | sec x | x2 +C

2)

3)

Answer 1

x tan ²x da Ittailna seca ja see on-1) dx Sesein - ) de for Jesece dx = a felhede - s tante a ( tais de 2x dre - x secx ax = by integration by parts = x taux t entwsrl Then 2x dx Then presente de a Jx.de z tak + enlosely to an = x thea en 1 secal - 22 TC de So I = de fare dk ek 2 F2 dk. ek -2 ft ek ak by parts by integration

al teks ek) te = a (se ese - ex) + option-D Auswas ţ alle K = 0 x =1 x = ln2 x 22 2K JK F ? x=ek Now us integration by parts Two tims . 26 dk the polk + f kezkak 42 - -2F + -K2 a . Again use integration by parts - - - - * - k ek szerte de [*** - Fekete Elal) Now put limit limit put Now

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