Derivative of the integral of a function with variable limits of integration?

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I need to find the derivative of the integral of a function as shown in the picture.

. . . . .\(\displaystyle \dfrac{d}{dx}\, \)\(\displaystyle \displaystyle{ \int_{2x}^{x^2}\, \ln\left(\arccos(j)\right)\, dj\, =}\)

But the limits of integration are variables and I don't know how to go about solving this. Please help me! Any guidance is greatly appreciated.
Thank you in advance.
 
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I need to find the derivative of the integral of a function as shown in the picture.

. . . . .\(\displaystyle \dfrac{d}{dx}\, \)\(\displaystyle \displaystyle{ \int_{2x}^{x^2}\, \ln\left(\arccos(j)\right)\, dj\, =}\)

But the limits of integration are variables and I don't know how to go about solving this. Please help me! Any guidance is greatly appreciated.
Thank you in advance.

There is a formula for problems just like this. Look up the formula in your textbook.
 
Last edited by a moderator:
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