AP Calculus AB · Integration and Accumulation of Change
Practice
Question 1 of 10
00:00
Question 1 of 10   |  The Fundamental Theorem of Calculus  ·  ●●○○○   
Explain exactly what is meant by the statement that 'differentiation and integration are inverse processes.'
Scan the code with your phone — question 1
The code opens the upload page for this question only.
Or choose a file from this device:
Choose a photo JPG, PNG

Photo answers are graded automatically. You will see what the grader read, so you can tell your teacher if it misread your handwriting.

Enter the final answer only. Any equivalent form is accepted — ln|x-1|-ln|x+4| and ln|(x-1)/(x+4)| both count. For an indefinite integral you must write the constant of integration (+C); an answer without it is marked wrong.

APC9-4.3-001
0/10

Report an issue

Question ID: APC9-4.3-001
Graphing Calculator
Reference Sheet

Area & Circumference

Circle$A = \pi r^2$,  $C = 2\pi r$
Rectangle$A = lw$
Triangle$A = \tfrac{1}{2}bh$
Trapezoid$A = \tfrac{1}{2}(b_1+b_2)h$

Volume

Box$V = lwh$
Cylinder$V = \pi r^2 h$
Sphere$V = \tfrac{4}{3}\pi r^3$
Cone$V = \tfrac{1}{3}\pi r^2 h$
Pyramid$V = \tfrac{1}{3}lwh$

Triangles

Pythagorean Thm$a^2 + b^2 = c^2$
30-60-90sides: $1,\, \sqrt{3},\, 2$
45-45-90sides: $1,\, 1,\, \sqrt{2}$
Triangle Anglessum $= 180°$

Other Facts

Circle Degrees$360° = 2\pi \text{ rad}$
Exterior Angle= sum of non-adjacent interior angles

The number of degrees of arc in a circle is 360. The number of radians of arc in a circle is $2\pi$.

Exam Paused

Your timer is paused. Click Resume to continue from where you left off — your answers and current position are saved.

Time is up

This exam was already started and the time limit has passed. Submit your answers as they are, or open the review panel to inspect them before submitting.