What is the antiderivative of #h(x) = cos x#?
Two really fundamental trig calculus properties are:
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The antiderivative of ( h(x) = \cos(x) ) is ( H(x) = \sin(x) + C ), where ( C ) is the constant of integration.
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When evaluating a one-sided limit, you need to be careful when a quantity is approaching zero since its sign is different depending on which way it is approaching zero from. Let us look at some examples.
When evaluating a one-sided limit, you need to be careful when a quantity is approaching zero since its sign is different depending on which way it is approaching zero from. Let us look at some examples.
When evaluating a one-sided limit, you need to be careful when a quantity is approaching zero since its sign is different depending on which way it is approaching zero from. Let us look at some examples.
When evaluating a one-sided limit, you need to be careful when a quantity is approaching zero since its sign is different depending on which way it is approaching zero from. Let us look at some examples.
- How do you evaluate the integral #int (dx)/(x(lnx)^(1/5)# from #1/2# to #oo#?
- How do you find the integral of #int csc^4(x) cot^6(x) dx#?
- How do you find the integral of #int tan^3(2x) sec^5(2x) dx#?
- What is the integral of #cos^4(x/2)#?
- What is the net area between #f(x) = -xln(x^2-1) # and the x-axis over #x in [2, 4 ]#?

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