definite integrals

Evaluate the definite integral.

• 8 pi
• 16 pi
• 128 pi
• Not possible

Tags

CCSS.HSG.GMD.A.1

CCSS.HSG.GMD.A.2

CCSS.HSG.GMD.A.3

 $\int_{-2}^{-1}\ \left(4x^2\ +\ 3x\ -1\right)\ dx$  =

•  $\frac{89}{6}$  

•  $\frac{23}{6}$  

• 7

• 0

Tags

CCSS.HSA.APR.A.1

 $\int_1^3\left(2-\frac{3}{x^2}\right)dx=$  

• 2

•  $-\frac{1}{2}$  

•  $-2$  

•  $0.5$  

• 1.097

• 0

• 8/3

• none of these

Evaluate the definite integral.

• 40
• 20
• 10
• Not possible

 What is the value of the definite integral : 
 $\int_{-\pi}^{\pi}\ \sin\left(x\right)\ dx$  

• 0

• 1

• 2

•  $2\pi$  

Which of the following is incorrect?

•  $\int_b^af\left(x\right)\ dx=-\int_a^bf\left(x\right)\ dx$  

•  $\int_a^af\left(x\right)\ dx=0$  

•  $\int_a^bf\left(x\right)\ dx+\int_b^cf\left(x\right)\ dx$  
   $=\int_a^cf\left(x\right)\ dx$  
  

•  $\int_a^bf\left(x\right)\ dx-\int_b^cg\left(x\right)\ dx$  
   $=\int_a^c\left(f\left(x\right)-g\left(x\right)\right)\ dx$  
  

•  $\int_a^bf\left(x\right)\ dx-\int_a^bg\left(x\right)\ dx$  
   $=\int_a^b\left(f\left(x\right)-g\left(x\right)\right)\ dx$  
  

Tags

CCSS.HSA.SSE.B.3

• 1/3
• 8/3
• 16/3
• 24/3

Which of the following definite integrals has the same values as the one above?

• 
• 
• 
• 
• 

 $\int_{-1}^{1^{ }}\ x^{17}\cos^4x\ dx$  

• 1

• 0

• 2

• none of these