AP Calc HW #81 (6.2)

 $\int_{ }^{ }\sqrt{x^5}\ dx\ =\ ...$  

•  $\frac{2}{7}x^{3\ }\sqrt{x}+\ C$  

•  $\frac{2}{5}x^3\sqrt{x}\ +\ C$  

•  $\sqrt{5x^4}\ +\ C$  

•  $\sqrt{\frac{1}{6}x^6}\ +\ C$  

•  $5x^{4\ }+\ C$  

 $\int6x\left(3x^2+5\right)^{5\ }dx\ =\ ...$  

•  $\frac{1}{3}\left(3x^2+5\right)^5+\ c$  

•  $\frac{2}{3}\left(3x^2+5\right)^{5\ }+\ c$  

•  $\frac{1}{6}\left(3x^2+5\right)^6+\ c$  

•  $\frac{1}{3}\left(3x^2+5\right)^6+\ c$  

•  $\frac{2}{3}\left(3x^2+5\right)^6+\ c$  

• 
• 
• 
• 
• 

• 11

• 12

• 13

• 14

• 15

• -3ln Icos(x)I + 2cos(x) + C
• -3ln Isin(x)I - 2cos(x) + C
• -3ln Icos(x)I - 2cos(x) + C
• 3ln Icos(x)I - 2cos(x) + C

∫ 2x cos(x²) dx

• sin(x²) + C

• 2 sin ( 2x ) + C

• (1/2) sin(x²) + C

• 4 cos(2x ) + C

• ln(2x²+6) + C
• ln(2x²+6)(4x) + C
• 1/(2x²+6) + C
• 1/(2x²+6)² + C

Tags

CCSS.HSA.SSE.B.3

CCSS.HSA.APR.D.6

CCSS.HSF.BF.B.5

What should be assigned to u in the integral?

• 2x²

• sin (2x²)

• 5x

• no u needed

Tags

CCSS.HSF.TF.B.5

What is the choice of u for ∫ e^x(1+e^x)^(1/2) dx?

• e^x

• 1+e^x

• (1+e^x)^(1/2)

• (e^x)^(1/2)

Tags

CCSS.HSA.SSE.B.3

CCSS.HSA.SSE.A.2

CCSS.HSN.RN.A.2

What should "du" equal in this integral?

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

Tags

CCSS.HSF.TF.C.9