Calculus of Trigonometric Functions

Consider the function $y=\sin\left(x^5\right)$`y`=`s``i``n`(`x`5).

a

Find the derivative $\frac{dy}{dx}$`d``y``d``x`.

b

Hence find the value of $\int x^4\cos\left(x^5\right)dx$∫`x`4`c``o``s`(`x`5)`d``x`.

You may use $C$`C` to represent the constant of integration.

Easy

Approx 2 minutes

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