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# What Is the Integral of the Secant Function?

The integral of the secant function is the natural logarithm of the absolute value of the secant of x plus the tangent of x, plus a constant. Expressed in mathematical notation, it reads as the integral of sec x dx = ln |sec x + tan x| + C.

Continue ReadingThe integral of the secant function can be solved by using the integration technique called substitution. The function is rewritten as the integral of the secant of x, times the secant of x plus the tangent of x, over the secant of x plus the tangent of x. Next, u is used to express the secant of x plus the tangent of x, and du is expressed as (sec x tan x + sec2 x) dx.

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## What Is the Derivative of Secant Squared?

A: The derivative of the function secant squared of x is d/dx(sec^2(x)) = 2sec^2(x)tan(x). This derivative is obtained by applying the chain rule of different... Full Answer >Filed Under: -
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## What Is the Antiderivative of Tan?

A: The antiderivative of the tangent of x equals the negative natural log of the absolute value of the cosine of x, plus a constant. In mathematical terms, th... Full Answer >Filed Under: -
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## What Is the Significance of Ln 1/x in Calculus?

A: In calculus, the primary significance of 1/x is its value as the derivative of the natural logarithm of "x." The proof for the derivative of ln(x) may be f... Full Answer >Filed Under: -
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## What Are Antiderivatives of Trig Functions?

A: The antiderivative of a trigonometric function is an alternative way of deducing the integral of the function, according to educators at Massachusetts Inst... Full Answer >Filed Under: