Antiderivative of secx
Antiderivative of secx can be calculated easily with help of knowledge of
integration of trigonometric functions. Before going to solve this type of problem
we must have knowledge of derivative of a function.
If we draw a graph of a function, and we draw a straight line that just touches
the curve at a point then that point is called derivative. The derivative is the
differentiation of the function at that particular point.
We can find the derivative of the given function by differentiating the given
function. Derivative of trigonometric function can be easily find out if you have
knowledge of basic of trigonometric function.
Here we need to find the antiderivative of secx for that we need to know
something about antiderivative,
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it can be defined as:
If we draw a curve and we need to find area under that curve then we take one
initial point and one final point and then simply we will integrate the function
from initial limit to final limit and we can easily find area under the curve this is
the simplest technique for finding the area and accurate too.
In order to solve the problem you must knowledge that how to rewrite secx in
form of sinx and cosx, because these are the only two functions whose
integration is known to us. For this question you must know about, how to
rewrite secx in the form of sinx and cosx.
Secx is the reciprocal of cosx so, we can write- secx=1/cosx, Now, our task is to
integrate 1/cosx, = ʃ1/cosxdx, For any function in the form of 1/x we will
integrate it as ln(x). Now, we can integrate cosx as sin, thus required solution is:
ʃsecxdx=ln(sinx) In this way we can find antiderivative of different trigonometric
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