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Integration Using U-Substitution

Authored by Huguette Williams

Mathematics

10th - 12th Grade

CCSS covered

Integration Using U-Substitution
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5 questions

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1.

OPEN ENDED QUESTION

5 mins • Ungraded

x2+1x3+3xdx\int_{ }^{ }\ \frac{x^2+1}{\sqrt{x^3+3x}}dx

Evaluate responses using AI:

OFF

Tags

CCSS.HSA.APR.A.1

CCSS.HSA.APR.D.6

2.

OPEN ENDED QUESTION

5 mins • Ungraded

  sec2x1tan2xdx\int_{ }^{ }\ \frac{\sec^2x}{\sqrt{1-\tan^2x}}dx  

Evaluate responses using AI:

OFF

Tags

CCSS.HSF.TF.C.8

3.

OPEN ENDED QUESTION

5 mins • Ungraded

  cos4(3t)sin(3t)dt\int_{ }^{ }\ \cos^4\left(3t\right)\sin\left(3t\right)dt  

Evaluate responses using AI:

OFF

Tags

CCSS.HSF.TF.C.8

CCSS.HSF.IF.C.8

CCSS.HSF.TF.A.1

CCSS.HSF.TF.A.2

CCSS.HSF.TF.A.4

4.

OPEN ENDED QUESTION

5 mins • Ungraded

  (2x5)(x3)9dx\int_{ }^{ }\ \left(2x-5\right)\left(x-3\right)^9dx  

Evaluate responses using AI:

OFF

Tags

CCSS.HSA.APR.A.1

CCSS.HSA.SSE.A.2

5.

OPEN ENDED QUESTION

5 mins • Ungraded

 ln(2)ln(23) ex1e2xdx\int_{\ln\left(2\right)}^{\ln\left(\frac{2}{\sqrt{3}}\right)}\ \frac{e^{-x}}{\sqrt{1-e^{-2x}}}dx  

Evaluate responses using AI:

OFF

Tags

CCSS.HSF.LE.A.1

CCSS.HSF.LE.A.4

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