the following expression. 6. ly° + 1 dy у

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
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**Task: Simplification of a Mathematical Expression**

Simplify the following expression:

\[
\frac{d}{dx} \int_{x^3}^{11} \sqrt{y^6 + 1} \, dy
\]

This expression involves taking the derivative with respect to \(x\) of a definite integral where the lower limit is a function of \(x\) and the upper limit is a constant. You might use the Fundamental Theorem of Calculus and Leibniz rule for differentiation under the integral sign to solve it.
Transcribed Image Text:**Task: Simplification of a Mathematical Expression** Simplify the following expression: \[ \frac{d}{dx} \int_{x^3}^{11} \sqrt{y^6 + 1} \, dy \] This expression involves taking the derivative with respect to \(x\) of a definite integral where the lower limit is a function of \(x\) and the upper limit is a constant. You might use the Fundamental Theorem of Calculus and Leibniz rule for differentiation under the integral sign to solve it.
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