1. Use any appropriate method to find each of the following integrals psin’ x-cos? 1.1 dx...

Question

Question

1. Use any appropriate method to find each of the following integrals psin’ x-cos? 1.1 dx sin x+cos x [4]

Answer 1

Answer #1

sin^2 x-cos^2x is same as a^2 -b^2=(a+b)(a-b)

Apply this in integral term and simply it

Now, integral become,

$\int (sinx-cosx)dx$

$\int sinxdx= -cosx+c$

$\int cosxdx= sinx+c$

Answer : -cosx- sinx+c

sin²x - cos²x dic sinxt loss s(sinsly co .dx [2²-6² = (atbla-b (singly closx) (sinx Cosy) (sire tlos x) = Slain x - Los x) du

Answer 2

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