Find the equation of the tangent to: a y = p2x + 1 at x = 4 b y = 1 2 x at x = 1 c f(x)

6.2 Trigonometric integrals and Substitutions Trig Identities: si n θ+cos θ=1 Section A: Trig tan θ+1=sec θ2 Integrals Example 1: 1+cot θ=csc θ2 3 2 ∫ sin xcos xdx 2 1 co s θ= 2 [+co2 (θ 2] Step1:breakupthe factor= ∫in xcos xsinx dx 2 1 si n θ= [1−cos (θ ] x 2 x u = cosx 1−cos ¿cos xsin x dx du = - sin x dx  -du = sin x dx ¿ ¿ Step2:changesin ¿somethingwekow= ¿ ∫ Step3:U− ¿ 1−u 2)u (−du) Step4: foil out¿get a polynomial=∫ (u −u 4du u3 u5 Step5:Takeintegral=− − [3] 5 Example 2: ∫ cos xdx Page 1 of 2 6.2 Trigonometric integrals and Substitutions f