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Interpretation geometries of integration

Which one of the following integral is represented shaded area in figure:

$\int_{ }^{ }f\left(x\right)dx$

$\int_1^2f\left(x\right)dx$

$\int_a^bf\left(x\right)dx$

Calculate shaded area in figure:

6/5

9

8

Fill in the blank
$\int_{ }^{ }3tdt$ represents

area under curve

family of parabolas

single parabola

Which integral represents the area bounded by y = 2x + 1 with x- axis between the lines x = 0 and x = 2:

$\int_1^3ydx$

$\int_{-2}^3ydx$

$\int_0^2\left(2x+1\right)dx$

Calculate shaded area in figure:

6

12

9

Fill in the blank
$\int_1^2\left(5t^2\right)dt$ represents

area under curve

family of parabolas

single parabola

Which one of the following integral is represented shaded area in figure:

$\int_{ }^{ }ydx$

$\int_{-2}^3ydx$

$\int_1^3\left(-x+1\right)dx$

Which one of the following integral is represented shaded area in figure:

$\int_1^3f\left(x\right)dx$

$\int_1^2f\left(x\right)dx$

$\int_{-1}^3ydx$

Which one of the following integral is represented shaded area in figure:

$\int_{ }^{ }ydx$

$\int_1^2f\left(x\right)dx$

$\int_0^3f\left(x\ \right)dx$

Calculate shaded area in figure:

6

2

9

Questions

Time

Score

Interpretation geometries of integration

Which one of the following integral is represented shaded area in figure: ﻿

﻿∫f(x)dx\int_{ }^{ }f\left(x\right)dx∫​f(x)dx﻿

﻿∫12f(x)dx\int_1^2f\left(x\right)dx∫12​f(x)dx﻿

﻿∫abf(x)dx\int_a^bf\left(x\right)dx∫ab​f(x)dx﻿

Calculate shaded area in figure:

6/5

9

8

Fill in the blank﻿∫3tdt\int_{ }^{ }3tdt∫​3tdt﻿ represents

area under curve

family of parabolas

single parabola

Which integral represents the area bounded by y = 2x + 1 with x- axis between the lines x = 0 and x = 2:

﻿∫13ydx\int_1^3ydx∫13​ydx﻿

﻿∫−23ydx\int_{-2}^3ydx∫−23​ydx﻿

﻿∫02(2x+1)dx\int_0^2\left(2x+1\right)dx∫02​(2x+1)dx﻿

Calculate shaded area in figure:

6

12

9

Fill in the blank﻿∫12(5t2)dt\int_1^2\left(5t^2\right)dt∫12​(5t2)dt﻿ represents

area under curve

family of parabolas

single parabola

Which one of the following integral is represented shaded area in figure:﻿

﻿∫ydx\int_{ }^{ }ydx∫​ydx﻿

﻿∫−23ydx\int_{-2}^3ydx∫−23​ydx﻿

﻿∫13(−x+1)dx\int_1^3\left(-x+1\right)dx∫13​(−x+1)dx﻿

Which one of the following integral is represented shaded area in figure: ﻿

﻿∫13f(x)dx\int_1^3f\left(x\right)dx∫13​f(x)dx﻿

﻿∫12f(x)dx\int_1^2f\left(x\right)dx∫12​f(x)dx﻿

﻿∫−13ydx\int_{-1}^3ydx∫−13​ydx﻿

Which one of the following integral is represented shaded area in figure: ﻿

﻿∫ydx\int_{ }^{ }ydx∫​ydx﻿

﻿∫12f(x)dx\int_1^2f\left(x\right)dx∫12​f(x)dx﻿

﻿∫03f(x )dx\int_0^3f\left(x\ \right)dx∫03​f(x )dx﻿

Calculate shaded area in figure: ﻿

6

2

9

Incorrect

Great!

Which one of the following integral is represented shaded area in figure:

$\int_{ }^{ }f\left(x\right)dx$

$\int_1^2f\left(x\right)dx$

$\int_a^bf\left(x\right)dx$

Fill in the blank
$\int_{ }^{ }3tdt$ represents

$\int_1^3ydx$

$\int_{-2}^3ydx$

$\int_0^2\left(2x+1\right)dx$

Fill in the blank
$\int_1^2\left(5t^2\right)dt$ represents

Which one of the following integral is represented shaded area in figure:

$\int_{ }^{ }ydx$

$\int_{-2}^3ydx$

$\int_1^3\left(-x+1\right)dx$

Which one of the following integral is represented shaded area in figure:

$\int_1^3f\left(x\right)dx$

$\int_1^2f\left(x\right)dx$

$\int_{-1}^3ydx$

Which one of the following integral is represented shaded area in figure:

$\int_{ }^{ }ydx$

$\int_1^2f\left(x\right)dx$

$\int_0^3f\left(x\ \right)dx$

Calculate shaded area in figure: