Integral of ∫tan^4(x)dx using the Reduction Formula

In this video, we work through the process of solving the integral of ∫tan^4(x)dx with the reduction formula we derived in an earlier video.

The idea with the reduction formula is to reduce the power to lower powers until we can use the standard integral for tan^2(x).

Remember tan^4(x) = [tan(x)]^4.

We also find the integral for a more general case: ∫tan^4(ax)dx by applying a simple substitution and the reduction formula

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[vlogspotofficial]

Connect integration of sin^pxcos^qx dx with integration of sin^4x cos ^3x dx

[Kisongochi]

Hello sir, how did you integrate tan^2(x)

[kishore-uwuq]

can i write this answer on my indian board exams