Power Rule in Integration Quiz

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Medium-level power rule practice

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Noor Alzoubi

United Arab Emirates

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Power Rule in Integration QuizOnline version Medium-level power rule practice by Noor Alzoubi 1 Using the power rule, what is ∫ x^4 dx equals to? a 4x^5/5 + C b x^5 - C c x^5/5 + C d x^5/4 + C 2 For n ≠ -1, ∫ x^n dx equals what expression? a n*x^n + C b x^{n+1}/(n+1) + C c x^{n-1}/(n-1) + C d ln\|x\| + C 3 Compute ∫ x^0 dx using the power rule. a 1/x + C b x^1 + C c ln\|x\| + C d x + C 4 What is ∫ x^(-2) dx equal to? a x^{-1} + C b -x^{-1} + C c -1/x + C d -x^{2} + C 5 If n = -3, what is ∫ x^n dx? a x^{-2}/(2) + C b x^{-2}/(-2) + C c x^{-3}/(-3) + C d -x^{-2}/2 + C 6 What constant appears in the result of ∫ x^n dx for n ≠ -1? a 1/n b 1/(n+1) c ln\|x\| d n+1 7 Compute ∫ 2x^3 dx using the power rule. What is the result? a (2/4)x^4 + C b (2/5)x^5 + C c (2/3)x^4 + C d (1/2)x^4 + C 8 Which of the following is the derivative form of the integral result for ∫ x^5 dx? a x^5/6 + C b x^5/5 + C c x^6/6 + C d x^6/5 + C

Power Rule in Integration QuizOnline version

Medium-level power rule practice

by Noor Alzoubi

Using the power rule, what is ∫ x^4 dx equals to?

4x^5/5 + C

x^5 - C

x^5/5 + C

x^5/4 + C

For n ≠ -1, ∫ x^n dx equals what expression?

n*x^n + C

x^{n+1}/(n+1) + C

x^{n-1}/(n-1) + C

ln|x| + C

Compute ∫ x^0 dx using the power rule.

1/x + C

x^1 + C

ln|x| + C

x + C

What is ∫ x^(-2) dx equal to?

x^{-1} + C

-x^{-1} + C

-1/x + C

-x^{2} + C

If n = -3, what is ∫ x^n dx?

x^{-2}/(2) + C

x^{-2}/(-2) + C

x^{-3}/(-3) + C

-x^{-2}/2 + C

What constant appears in the result of ∫ x^n dx for n ≠ -1?

1/n

1/(n+1)

ln|x|

n+1

Compute ∫ 2x^3 dx using the power rule. What is the result?

(2/4)x^4 + C

(2/5)x^5 + C

(2/3)x^4 + C

(1/2)x^4 + C

Which of the following is the derivative form of the integral result for ∫ x^5 dx?

x^5/6 + C

x^5/5 + C

x^6/6 + C

x^6/5 + C

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Power Rule in Integration Quiz

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About this activity

Created by

Download the paper version to play

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Power Rule in Integration QuizOnline version

by Noor Alzoubi

Using the power rule, what is ∫ x^4 dx equals to?

For n ≠ -1, ∫ x^n dx equals what expression?

Compute ∫ x^0 dx using the power rule.

What is ∫ x^(-2) dx equal to?

If n = -3, what is ∫ x^n dx?

What constant appears in the result of ∫ x^n dx for n ≠ -1?

Compute ∫ 2x^3 dx using the power rule. What is the result?

Which of the following is the derivative form of the integral result for ∫ x^5 dx?

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