Antiderivatives of Radical Functions Quiz

What are radical functions?

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How can you rewrite the integrand of ∫√xdx?

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Which integration technique can be used to solve for the given integral?

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What is ∫(x+1)dx?

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Evaluate ∫√x^3 dx.

• 3/4 x^(4/3) + C

• 4/3 x^(4/3) + C

• 9/4 x^(4/3) + C

• 2/3 x^(3/2) + C

Evaluate ∫(√x + 2) dx.

• 2/3 x^(3/2) + 2x + C

• 2/3 x^(3/2) + C

• x^2 + 2x + C

• x^(3/2) + 2x + C

Evaluate ∫3√x^3 dx.

• 9/4 x^(4/3) + C

• 3/4 x^(4/3) + C

• 3x^(4/3) + C

• x^(4/3) + C

Evaluate ∫(2√x^5 - 7) dx.

• 5/3 x^(6/5) - 7x + C

• 2/5 x^(6/5) - 7x + C

• 2/3 x^(6/5) - 7x + C

• 2x^(6/5) - 7x + C

Determine whether each statement is true or false. 1. The antiderivative of a constant 푎 with respect to 푥 is 푎푥 plus a constant.

• True

• False

Determine whether each statement is true or false. 2. The antiderivative of 푥^푛 with respect to 푥 is 푥^(푛+1)/(푛+1) plus a constant for any real number 푛.

• True

• False