The following integral can be evaluated by using substitution: a) Identify the inside function. u= x^5-1 z³-1✔ Differentiate: 5x^4 524 Make dz the subject: dz = 1/(5x^4) du b) Rewrite the whole integral in terms of u and du: -du 524 X [22ª sin (2³-1) dz 2x^4sin(u) Simplify and cancel 's: 2/5 sin(u) sin(u) ✔du Integrate with respect to u: du 5x^4

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