Indefinite and Definite Integrals with U-Sub & Area Between

What should "u" equal in this integral?

• csc(x)
• csc²x
• sin(x)
• cos(x)

Tags

CCSS.HSF.TF.A.3

What should "du" equal in this integral?

• tanxsecx dx
• secx dx
• sec²x dx
• tanx dx

Tags

CCSS.HSF.TF.C.9

What should be used for u in solving the integral below
∫ (tan⁴xsec²x)dx

• tanx
• tan⁴x
• no u needed
• tanxsecx

Solve the following integral. Leave your solution in term of u.

∫ √(4x-3) dx

• (1/6)(√u)³ + c

• (2/3)u^3/2 + c

• (1/4)u^1/2 + c

• (1/4)u^3/2 + c

Tags

CCSS.HSA.SSE.A.2

CCSS.HSA.SSE.B.3

CCSS.HSN.RN.A.2

What is u for the function given?

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What is u for the function given?

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Rewrite the function in terms of u.

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Rewrite the function in terms of u.

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∫ 2 x (x²- 3)^(1/2) dx

• (x²- 3)^(3/2)+C
• (3/2)(x²- 3)^(3/2)+C
• (2/3)(x²- 3)^(3/2)+C
• (2/3)(x²- 3)^(-1/2)+C

Tags

CCSS.HSA.APR.A.1

CCSS.HSN.RN.A.2

∫ x (x² + 7 )^(1/3) dx 

• (3/4) ( x²+ 7 )^(4/3) + C
• (3/8) ( x²+ 7 )^(4/3) + C 
•  ( x²+ 7 )^(4/3) + C 
• (3/2) ( x²+ 7 )^(4/3) + C 

Tags

CCSS.HSA.APR.A.1

CCSS.HSN.RN.A.2