The integral of (sec(10x)^2)*(tan(10x)^6)dx can be solved using the substitution method. By letting u = tan(10x), the integral simplifies significantly. The derivative of tan is sec^2, which directly relates to the secant function in the integral, facilitating the integration process. This approach effectively reduces the complexity of the integral, allowing for a straightforward solution.
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Loppyfoot said:Homework Statement
Integral of (sec(10x)^2)*(tan(10x)^6)dx
Homework Equations
The Attempt at a Solution
The powers are throwing me off a little bit. I realize that the derivative of tan is sec^2, bt how will that help me with this problem?