Integration quiz 1

Find the antiderivative of
(1/3)x³-5x

• (1/12)x⁴-(5/2)x²+C
• (1/4)x⁴-(1/2)x²+C
• (1/12)x³-(5)x²+C
• (12)x⁴-(5)x²+C

Tags

CCSS.HSA.APR.A.1

INTEGRATE

• A
• B
• C
• D

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

 $\int6x\left(x+2\right)dx$  

•  $6x^2+12x+C$  

•  $x^{2\ }-2x+C$  

•  $3x^2+6x+C$  

•  $2x^3+6x^2+C$ 

Tags

CCSS.HSA.APR.A.1

 $\int\left(6\sqrt{x}-1\right)dx$  

•  $6x^{\frac{3}{2}}+x+C$  

•  $4x^{\frac{3}{2}}-x+C$  

•  $3x^{-\frac{1}{2}}-x+C$  

• I didn't look at my notes to see how to do this one.

Tags

CCSS.HSA.REI.A.2

CCSS.HSA.SSE.B.3

CCSS.HSN.RN.A.2

 $\int\left(\frac{1}{x^2}+\frac{6}{x^3}\right)dx$  

•  $-x^{-1}-3x^{-2}+C$  

•  $\frac{x^{-3}}{-3}+\frac{6x^{-4}}{-4}+C$  

•  $-x^{-1}-3x^{-2}$  

•  $-x-3x^2+C$  

Tags

CCSS.HSA.APR.D.7

Integrate $\int_{ }^{ }\sin x\ dx$  

•  $=\tan x+c$  

•  $=-\cos x+c$  

•  $=-\sec x+c$  

•  $=\operatorname{cosec}\ x\ +c$  

 $What\ is\ an\ antiderivative\ of\int_{ }^{ }\ \frac{3}{4\sqrt{x}}?$  

•  $\frac{3}{2}\ \sqrt{x}\ +C$  

•  $\frac{3}{4}\ \sqrt{x}\ +C$  

•  $\frac{2}{5}\ \sqrt{x}\ +C$  

•  $\frac{1}{3}\ \sqrt{x}$  

Determine the position function if the acceleration is 𝑎(𝑡) = −8 cos 𝑡 + 5 𝑐𝑚/𝑠,the initial velocity is 𝑣(0) = 3𝑐𝑚/𝑠 and the initial position is 𝑠(0) = 10 cm.

•  $s\left(t\right)=\cos t\ +\frac{5}{2}t^2+3t+2$  

•  $s\left(t\right)=8\ \cos t\ +\frac{5}{2}t^2+t-2$  

•  $s\left(t\right)=8\ \cos t\ +\frac{5}{2}t^2+3t+2$  

•  $s\left(t\right)=8\ \cos t\ +5t^2+3t+2$  

• -4x⁶-5x²+C
• -24x⁶-10x²+C
• -4x⁵-5x+C
• -4x⁶-10+C

Tags

CCSS.HSA.APR.A.1

CCSS.HSA.SSE.A.1

CCSS.HSA.SSE.A.2