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Integrate each of the given expressions.$$\int\left(t^{3}-2\right)^{6}\left(3 t^{2} d t\right)$$

$\frac{\left(t^{3}-2\right)^{7}}{7}+C$

Calculus 1 / AB

Chapter 25

Integration

Section 2

The Indefinite Integral

Integrals

Campbell University

Harvey Mudd College

Boston College

Lectures

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Use substitution to find e…

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Find the indefinite integr…

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friends we are to indicate of this given expression that is intake is enough. Take humanist to the power of six. Okay. Yeah In 23 T two. Okay. Okay so now we will sub still take your minister by you. No we will differentiate this with respectful T. So this will because of three T square DD equals today. You so we can I get you to the power of six do you? So integration of this will be U to the power six plus fund upon six plus one plus constant C. Okay. Yeah So further weekend night you did the power seven. So you is given us you will be replaced. The value of you will be replaced. So that is You delivered over 7.7%. So this will be cost too Take you manage to to the power of seven. Mhm upon seven. Let's see. So this is the answer. I hope you're not shirt thank you.

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