Integral Calculus

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CCSS.HSF.TF.A.2

CCSS.HSF.TF.C.8

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CCSS.HSA.APR.A.1

CCSS.HSA.SSE.A.2

CCSS.HSA.SSE.B.3

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Which of the following is TRUE ?

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

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

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

• $\int_{ }^{ }\ x\ \ dx\ =\ 1\ +\ c$

 $\int_{ }^{ }x^3\ -\pi\ dx\ \ =$  

•  $3x^2\ +\ c$  

•  $\frac{x^4}{4}\ +\ c$  

•  $\frac{x^4}{4}\ -\ \pi x$  

•  $\frac{x^4}{4}\ -\ \pi x\ +\ c$  

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CCSS.HSA.APR.A.1

CCSS.HSA.SSE.A.2

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

•  $5x^{-6}\ +\ c$  

•  $5x^{-5}\ +\ c$  

•  $-\frac{5}{4x^4}\ +\ c$  

•  $-\frac{1}{x^5}\ +\ c$  

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CCSS.HSA.APR.D.7

Integrate  $\int_{ }^{ }\cos\ \left(5x\right)\ dx$  with respect to x.

•  $\sin\ \left(5x\right)\ +\ c$  

•  $-\frac{1}{5}\sin\ \left(5x\right)\ +\ c$  

•  $\frac{1}{5}\ \sin\ \left(5x\right)\ +\ c$  

•  $\frac{\cos\ \left(5x\right)}{5}\ +\ c$  

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 NOT one of techniques of Integration?

• Substitution

• By Part

• Quotient Rule

• Partial Fraction