∫ csc x cot x 2 dx 20. ∫ 2 5 sec x tan xdx
Question
∫ csc x cot x 2 dx 20. ∫ 2 5 sec x tan xdx
Solution
It seems like you're asking for help with two separate integrals. Here's how you can solve them:
- ∫ csc x cot x dx
The integral of csc(x) cot(x) dx is a standard integral that is equal to -csc(x). So, the integral of csc(x) cot(x) dx is -csc(x) + C, where C is the constant of integration.
- ∫ 2 sec x tan x dx
The integral of sec(x) tan(x) dx is a standard integral that is equal to sec(x). So, the integral of 2 sec(x) tan(x) dx is 2 sec(x) + C, where C is the constant of integration.
Please note that these solutions assume that the limits of integration are not specified. If they are, you would need to evaluate the antiderivative at the upper limit and subtract the antiderivative evaluated at the lower limit.
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