|BSM

Questions

1 / 10

Time

Score

Types of integrals (definite integral and indefinite integral)

Fill in the blanks:
__________________integral of a function with limits of integration.

definite Integral

Indefinite Integral

Which one of following is indefinite integrals?

$\int_1^2g\left(v\right)dv$

$\int_1^3g\left(v\right)dv$

$\int_{ }^{ }f\left(t\right)dt$

Evaluate: $\int_{ }^{ }t^3dt$

5

9 $\frac{t^4}{4}+c$

Which one of following is definite integrals?

$\int_5^2g\left(v\right)dv$

$\int_{ }^{ }g\left(v\right)dv$

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

Is the sentence true or false?
Indefinite integrals are defined with upper and lower limits

True

False

Evaluate: $\int_{ }^{ }t^2dt$

5

9 $\frac{t^3}{3}$ +c

Which one of following is indefinite integrals?

$\int_1^2g\left(v\right)dv$

$\int_{ }^{ }g\left(v\right)dv$

$\int_2^3g\left(v\right)dv$

Evaluate: $\int_0^3\left(t\right)^2dt$

5

9 $\frac{t^3}{3}+c$

Which one of following is definite integrals?

$\int_{ }^{ }f\left(t\right)dt$

$\int_{ }^{ }g\left(v\right)dv$

$\int_1^3g\left(t\right)dt$

Is the sentence true or false?
Definite Integral does not contain any constant of integration

True

False

Questions

Time

Score

Types of integrals (definite integral and indefinite integral)

Fill in the blanks: __________________integral of a function with limits of integration.

definite Integral

Indefinite Integral

Which one of following is indefinite integrals?

﻿∫12g(v)dv\int_1^2g\left(v\right)dv∫12​g(v)dv﻿

﻿∫13g(v)dv\int_1^3g\left(v\right)dv∫13​g(v)dv﻿

﻿∫f(t)dt\int_{ }^{ }f\left(t\right)dt∫​f(t)dt﻿

Evaluate: ﻿∫t3dt\int_{ }^{ }t^3dt∫​t3dt﻿

5

9

﻿t44+c\frac{t^4}{4}+c4t4​+c﻿

Which one of following is definite integrals?

﻿∫52g(v)dv\int_5^2g\left(v\right)dv∫52​g(v)dv﻿

﻿∫g(v)dv\int_{ }^{ }g\left(v\right)dv∫​g(v)dv﻿

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

Is the sentence true or false?Indefinite integrals are defined with upper and lower limits

True

False

Evaluate:﻿∫t2dt\int_{ }^{ }t^2dt∫​t2dt﻿

5

9

﻿t33\frac{t^3}{3}3t3​﻿ +c

Which one of following is indefinite integrals?

﻿∫12g(v)dv\int_1^2g\left(v\right)dv∫12​g(v)dv﻿

﻿∫g(v)dv\int_{ }^{ }g\left(v\right)dv∫​g(v)dv﻿

﻿∫23g(v)dv\int_2^3g\left(v\right)dv∫23​g(v)dv﻿

Evaluate: ﻿∫03(t)2dt\int_0^3\left(t\right)^2dt∫03​(t)2dt﻿

5

9

﻿t33+c\frac{t^3}{3}+c3t3​+c﻿

Which one of following is definite integrals?

﻿∫f(t)dt\int_{ }^{ }f\left(t\right)dt∫​f(t)dt﻿

﻿∫g(v)dv\int_{ }^{ }g\left(v\right)dv∫​g(v)dv﻿

﻿∫13g(t)dt\int_1^3g\left(t\right)dt∫13​g(t)dt﻿

Is the sentence true or false?Definite Integral does not contain any constant of integration

True

False

Incorrect

Great!

Fill in the blanks:
__________________integral of a function with limits of integration.

$\int_1^2g\left(v\right)dv$

$\int_1^3g\left(v\right)dv$

$\int_{ }^{ }f\left(t\right)dt$

Evaluate: $\int_{ }^{ }t^3dt$

$\frac{t^4}{4}+c$

$\int_5^2g\left(v\right)dv$

$\int_{ }^{ }g\left(v\right)dv$

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

Is the sentence true or false?
Indefinite integrals are defined with upper and lower limits

Evaluate: $\int_{ }^{ }t^2dt$

$\frac{t^3}{3}$ +c

$\int_1^2g\left(v\right)dv$

$\int_{ }^{ }g\left(v\right)dv$

$\int_2^3g\left(v\right)dv$

Evaluate: $\int_0^3\left(t\right)^2dt$

$\frac{t^3}{3}+c$

$\int_{ }^{ }f\left(t\right)dt$

$\int_{ }^{ }g\left(v\right)dv$

$\int_1^3g\left(t\right)dt$

Is the sentence true or false?
Definite Integral does not contain any constant of integration