# What is the integral using the substitution u=sin(2x)?

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find #int_0^(pi/4)sin^4(2x)cos(2x)dx# using the substitution #u=sin(2x)#

find

We want to integrate

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The integral using the substitution ( u = \sin(2x) ) involves trigonometric functions and will depend on the limits of integration and the function being integrated. Without specifying the function and the limits of integration, the integral cannot be determined.

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When evaluating a one-sided limit, you need to be careful when a quantity is approaching zero since its sign is different depending on which way it is approaching zero from. Let us look at some examples.

When evaluating a one-sided limit, you need to be careful when a quantity is approaching zero since its sign is different depending on which way it is approaching zero from. Let us look at some examples.

When evaluating a one-sided limit, you need to be careful when a quantity is approaching zero since its sign is different depending on which way it is approaching zero from. Let us look at some examples.

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