I'm honestly confused how to take the integral of sin^6(x) with respect to x.  Can you explain why it becomes such a long answer

Calculus For The Life Sciences
2nd Edition
ISBN:9780321964038
Author:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
Publisher:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
Chapter7: Integration
Section7.3: Area And The Definite Integral
Problem 1E: Explain the difference between an indefinite integral and a definite integral.
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I'm honestly confused how to take the integral of sin^6(x) with respect to x.  Can you explain why it becomes such a long answer?

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