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tjbateh
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Homework Statement
Find the integral of sinx/cos^3x dx
Homework Equations
The Attempt at a Solution
How would I approach such a problem?
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tjbateh said:the integrand as in the whole problem? So sin(x)/cos(x)^3=tan(x)sec(x)^2??
tjbateh said:the integrand as in the whole problem? So sin(x)/cos(x)^3=tan(x)sec(x)^2??
tjbateh said:tan(x)sec(x)?? But i don't understand, what happens to the sin(x) in the numerator..It seems like were just talking about the denominator.
The general process for finding the integral of sinx/cos^3x dx is to use trigonometric identities to rewrite the integral in terms of either sinx or cosx. Then, use substitution or integration by parts to solve the integral.
Yes, the integral can be simplified by using the trigonometric identity sinx/cos^3x = tanx/cos^2x. This allows us to rewrite the integral as the integral of tanx/cos^2x dx, which can be solved using the substitution method.
There are no specific limits or conditions for finding the integral of sinx/cos^3x dx. However, it is important to remember to check for any discontinuities or undefined points in the equation and adjust the limits accordingly.
Yes, there is an alternative method called integration by parts which can be used to solve the integral of sinx/cos^3x dx. This method involves breaking down the integral into two parts and using the product rule to find the solution.
Yes, there are many online calculators and software programs that can help you find the integral of sinx/cos^3x dx. However, it is important to understand the steps and concepts involved in solving the integral rather than relying on a calculator alone.