Calculus--Chapter (5.1- 5.2) -- Test: Integration

Select the wrong statement about integration.

• Integration is reverse process of derivative.

• Integration is commonly used to evaluate area under a curve or area between two curves.

• Integration is applied to find the volume of a solid formed by revolution.

• Integration is important in terms of solving optimization problem.

What does C represent in an Antiderivative?

• A variable

• Unknown

• A constant

• None of these

 Integrate  $\int\left(-20x^3-6x^{-3}\right)dx$  

•  $-5x^4+\frac{3}{x^2}+C$  

•  $-20x^4-\frac{6}{x^2}+C$  

•  $-5x^3+\frac{3}{x^3}+C$  

•  $-20x^4+\frac{3}{2}+C$  

Tags

CCSS.HSA.APR.A.1

• 1/x²+C
• x²+C
• -1/x²+C
• C

Tags

CCSS.HSA.APR.D.6

CCSS.HSA.APR.D.7

CCSS.HSA.SSE.B.3

• -2 cos(x) + C
• 2 cos(x) + C
• cos(x) / 2 +C
• - cos (x) / 2 +C

Tags

CCSS.HSF.TF.A.1

CCSS.HSF.TF.A.2

• -sec x + C

• sec x + C

• tan x + C

• tan² x + C

• sin x + C
• tan x + C
• sin² x + C
• -sin x + C

 $\int\sqrt{x^5}dx=....$  

•  $\frac{7}{2}\sqrt{x^7}+c$  

•  $\frac{2}{7}\sqrt{x^7}+c$  

•  $\frac{7}{2\sqrt{x^7}}+c$  

•  $\frac{2}{7\sqrt{x^7}}+c$  

 $\int t^2\left(3t+5\right)dt=....$  

•  $\frac{3}{4}t^4+\frac{5}{3}t^3+c$  

•  $3t^4+\frac{3}{5}t^3+c$  

•  $\frac{3}{4}t^3+\frac{5}{3}t^2+c$  

•  $9t^2+10t+c$  

Integrate  $\int^{ }\left(2x+3\right)^2\ dx\ =\ ...$  

•  $\frac{4}{3}x^3-3x^2+9x+c$  

•  $\ \frac{4}{3}x^3+3x^2+9x\ +\ c$  

•  $\frac{4}{3}x^3-6x^2-9x+c\$  

•  $\frac{4}{3}x^3+6x^2+9x+c$  

•  $\frac{3}{4}x^3+6x^2-9x+c$