Integration-1

 $\int_{ }^{ }e^{5x}dx\ =$  

•  $e^{5x}+c$  

•  $5e^{5x}+c$  

•  $\frac{1}{5}e^{5x}+c$  

• 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 ?

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

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

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

• $\int_{ }^{ }\ x\ \ dx\ =\ 1\ +\ c$

 $\int_{ }^{ }x^3\ -\pi\ dx\ \ =$  

•  $3x^2\ +\ c$  

•  $\frac{x^4}{4}\ +\ c$  

•  $\frac{x^4}{4}\ -\ \pi x$  

•  $\frac{x^4}{4}\ -\ \pi x\ +\ c$  

Tags

CCSS.HSA.APR.A.1

CCSS.HSA.SSE.A.2

What is  $\int_{ }^{ }\ \frac{5}{x^6}\ dx$  ?

•  $5x^{-6}\ +\ c$  

•  $5x^{-5}\ +\ c$  

•  $-\frac{5}{4x^4}\ +\ c$  

•  $-\frac{1}{x^5}\ +\ c$  

Tags

CCSS.HSA.APR.D.7

Which is the integral of  $\int_{ }^{ }\ \left(5-3x\right)^3\ dx$  ?

•  $3\left(5-3x\right)^2\ +c$  

•  $\frac{\left(5-3x\right)^4}{4}+\ c$  

•  $\frac{\left(5-3x\right)^4}{12}+\ c$  

•  $-\frac{\left(5-3x\right)^4}{12}+\ c$  

Tags

CCSS.HSA.APR.A.1

Which of the following is the indefinite integral of  $\frac{x^3}{2}+7$  ?

•  $\frac{3x^2}{2}$  

•  $\frac{3x^2}{2}+7x+c$  

•  $\frac{x^4}{8}+7x+c$  

•  $\frac{x^4}{8}+c$  

Tags

CCSS.HSA.APR.A.1