Evaluate the integral using u substitution of a expression to the fourth power

The video tutorial explains the process of u-substitution in calculus, focusing on identifying 'u' and 'du', changing the bounds of integration, and performing the integration. The instructor guides through the steps of rewriting the integral, adjusting the bounds, and calculating the final result, emphasizing the importance of understanding each step in the process.

What is the expression chosen for 'u' in the integration example?

• X^5 + 1

• X^4 + 1

• X^3 + 1

• X^2 + 1

What is the derivative of 'u' in the example provided?

• 5X^4

• 4X^3

• 3X^2

• 2X

When changing bounds from x to u, what is the new upper bound for u if x is 1?

• 3

• 2

• 4

• 1

What is the result of integrating U^4 with respect to U from 2 to 1?

• 31/5

• 34/5

• 32/5

• 33/5

What common mistake do students make regarding substitution in integration?

• Not changing the bounds

• Ignoring the derivative of u

• Plugging back the original variable

• Forgetting to change the variable