definite integral

Authored by Xiaoxiao Ma

Mathematics

9th - 12th Grade

CCSS covered

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MULTIPLE CHOICE QUESTION

5 mins • 1 pt

∫₁² (3x² + 4x³)dx

a. 24

b. -8

c. -10

d. 22

_{Evaluate the integral}

30/3

31/3

29/3

32/3

Evaluate the definite integral.

9/2

Not possible

MULTIPLE CHOICE QUESTION

2 mins • 1 pt

The fundamental theorem of calculus is basically:

calculating the area under a curve

$\int_a^b\ f\left(x\right)\ dx=F\left(b\right)-F\left(a\right)$

integrating a function, with no +C

using rectangles to approximate the area under a curve

we didn't learn this!

MULTIPLE CHOICE QUESTION

3 mins • 1 pt

Let $A\left(x\right)=\int_0^x\sqrt{9-x^2}dx$ find $A'\left(0\right)$

-3

MULTIPLE CHOICE QUESTION

5 mins • 1 pt

Use a right Riemann Sum to approximate the area of the shaded area.

MULTIPLE CHOICE QUESTION

5 mins • 1 pt

Find the average value of the function $f\left(x\right)=x+3$ on the interval $\left[3,9\right]$

$54$

$67.5$

$7.5$

$9$

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definite integral

∫₁² (3x² + 4x³)dx

Evaluate the integral

Evaluate the definite integral.

The fundamental theorem of calculus is basically:

Let A(x)=∫0x9−x2dxA\left(x\right)=\int_0^x\sqrt{9-x^2}dxA(x)=∫0x​9−x2​dx find A′(0)A'\left(0\right)A′(0)

Use a right Riemann Sum to approximate the area of the shaded area.

Find the average value of the function f(x)=x+3f\left(x\right)=x+3f(x)=x+3 on the interval [3,9]\left[3,9\right][3,9]

Access all questions and much more by creating a free account

Similar Resources on Wayground

Popular Resources on Wayground

Discover more resources for Mathematics

_{Evaluate the integral}

Let $A\left(x\right)=\int_0^x\sqrt{9-x^2}dx$ find $A'\left(0\right)$

Find the average value of the function $f\left(x\right)=x+3$ on the interval $\left[3,9\right]$