Integration

• ⅝
• -⅝
• ⅜
• 45/16

Tags

CCSS.HSA.APR.D.6

CCSS.HSA.APR.D.7

CCSS.HSA.SSE.B.3

CCSS.HSA.SSE.A.1

∫3x²(x³-9)^2/3 dx

• (3x²)^4/3
• (2/3)(x³-9)^5/3
• 3(x³-9)^-1/3
• -3(x³-9)^-1/3

Tags

CCSS.HSA.SSE.B.3

CCSS.HSA.SSE.A.2

CCSS.HSN.RN.A.2

∫e^xsin(e^x+6) dx

• -cos(e^x+6) + C
• cos(e^x+6) +C
• sin(e^x+6)+C
• e^2x/2

 $\frac{d}{dx}\left[e^{2x}\ +\ 3x^2+5\right]$  

•  $e^{2x}+\ 6x^2$  

•  $2e^{2x}\ +6x\$  

•  $2e^x+6x\$  

• none of these

 $\int_{ }^{ }e^{5x}dx\ =$  

•  $e^{5x}+c$  

•  $5e^{5x}+c$  

•  $\frac{1}{5}e^{5x}+c$  

• none of these

Tags

CCSS.HSA.SSE.B.3

∫(cos x + 3x²)dx =

• -sin x + x³ + c

• sinx + x³ + c

• -sin x + 6x

• 🌞

Tags

CCSS.HSA.APR.A.1

 $\int\ \frac{2}{x+3}dx^{ }=$  

• 2ln|x+3| + c

• 2ln(x + 3) + c

•  $\frac{1}{2}\ln\left|x\ +\ 3\right|\ +\ c$  

• none of these

Tags

CCSS.HSF.BF.B.5

∫cos(4x+5)dx

• -¼sin(4x + 5) + C

• 4sin(4x + 5) + C

• ¼sin(4x + 5) + C

• 4cos(4x + 5) + C

Tags

CCSS.HSF.TF.C.9

 $\int\left(\frac{4}{x}-e_{ }^x\right)dx$  

•  $4\ln\left(x\right)-e^x$  

•  $4\ln\left(x\right)+e^x+C$  

•  $4\ln\left(x\right)-e^x+C$  

•  $\frac{4}{x^2}-4e^x+C$  

Tags

CCSS.HSF.BF.B.5

Which of the following is TRUE ?

• $\int_{ }^{ }\sin\ x\ \ dx\ =\ \cos\ x\ +c$

• $\int_{ }^{ }e^x\ \ dx\ =\ \frac{e^{x+1}}{x+1}\ +\ c$

• $\int_{ }^{ }\ \frac{1}{x}\ \ dx\ =\ \ln\ \left|x\ \right|\ +c$

• $\int_{ }^{ }\ x\ \ dx\ =\ 1\ +\ c$