If F(x) = $\displaystyle integral((-12sin(x))/ (cos^2(x))dx) + C$ F(0)= -4 Find C Im sorry I dont know how to type for the integral symbol. I would like to know how to start this problem. An explanation would be great.
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Originally Posted by CalcGeek31 If F(x) = $\displaystyle integral((-12sin(x))/ (cos^2(x))dx) + C$ F(0)= -4 Find C Im sorry I dont know how to type for the integral symbol. I would like to know how to start this problem. An explanation would be great. Let $\displaystyle u = \cos x$ and transform the integral to one that is solvable.
$\displaystyle F(x) = \int \frac{-12\sin{x}}{\cos^2{x}} dx + C $ $\displaystyle F(x) = -12\int \sec{x} \tan{x} \, dx + C$ can you finish?
Originally Posted by skeeter $\displaystyle F(x) = \int \frac{-12\sin{x}}{\cos^2{x}} dx + C $ $\displaystyle F(x) = -12\int \sec{x} \tan{x} \, dx + C$ can you finish? Definitely easier than mine.
but when you take that integral wouldnt it get -12(answer to integral) + C+ C or can you combine the C's
Originally Posted by CalcGeek31 but when you take that integral wouldnt it get -12(answer to integral) + C+ C or can you combine the C's C is arbitrary (at first) so they can be combined.
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