Antiderivatives Practice Quiz

Authored by Daniel Deprisco

Mathematics

9th - 12th Grade

Used 4+ times

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8 questions

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MATCH QUESTION

1 min • 1 pt

Match the following.
(Normally there would be "+ C" on the antiderivatives)

sin x

$\frac{d}{dx}\left[\sin\ x\right]$

- cos x

$\frac{d}{dx}\left[\cos\ x\right]$

cos x

$\int_{ }^{ }\sin\ x\ dx$

- sin x

$\int_{ }^{ }\cos\ x\ dx$

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

$\int_a^5f\left(x\right)\ dx\ +\int_b^5f\left(x\right)dx\ =\ \int_a^bf\left(x\right)dx$

True

False

MATH RESPONSE QUESTION

2 mins • 1 pt

$\int x^3+4x^2-6x\ dx$
(You don't have to type in "+ C")

$\frac{1}{4}x^4+\frac{4}{3}x^3-3x^2$

Mathematical Equivalence

MATH RESPONSE QUESTION

2 mins • 1 pt

$\int8x^3+\sqrt[]{x}\ dx$
(You don't have to type in "+ C")

$2x^4+\frac{2}{3}x^{\frac{3}{2}}$

Mathematical Equivalence

MATCH QUESTION

1 min • 1 pt

Match the following.

$\int_1^3x+1\ dx$

12.5

$\int_3^5x+1\ dx$

-6

$\int_3^1x+1\ dx$

$\int_{-1}^4x+1\ dx$

MATCH QUESTION

1 min • 1 pt

Match the following.

$\int_{-2}^25\ dx$

$\int_{-2}^2\left|x\right|\ dx$

$\int_0^25\ dx$

$\int_{-10}^{10}x^3\ dx$

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

$\int\sec\ x\ \tan\ x\ dx$

$\sec\ x\ +\ C$

$\tan\ x\ +\ C$

$\sec^2x\ +\ C$

$\csc\ x\ +\ C$

REORDER QUESTION

1 min • 1 pt

Reorder the following from least value to greatest value.

$\int_0^33\ dx$

$\int_3^0x\ dx$

$\int_3^03\ dx$

$\int_0^3x\ dx$

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Antiderivatives Practice

Match the following. (Normally there would be "+ C" on the antiderivatives)

∫a5f(x) dx +∫b5f(x)dx = ∫abf(x)dx\int_a^5f\left(x\right)\ dx\ +\int_b^5f\left(x\right)dx\ =\ \int_a^bf\left(x\right)dx∫a5​f(x) dx +∫b5​f(x)dx = ∫ab​f(x)dx

∫x3+4x2−6x dx\int x^3+4x^2-6x\ dx∫x3+4x2−6x dx (You don't have to type in "+ C")

∫8x3+x dx\int8x^3+\sqrt[]{x}\ dx∫8x3+x​ dx (You don't have to type in "+ C")

Match the following.

Match the following.

∫sec⁡ x tan⁡ x dx\int\sec\ x\ \tan\ x\ dx∫sec x tan x dx

Reorder the following from least value to greatest value.

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Match the following.
(Normally there would be "+ C" on the antiderivatives)

$\int_a^5f\left(x\right)\ dx\ +\int_b^5f\left(x\right)dx\ =\ \int_a^bf\left(x\right)dx$

$\int x^3+4x^2-6x\ dx$
(You don't have to type in "+ C")

$\int8x^3+\sqrt[]{x}\ dx$
(You don't have to type in "+ C")

$\int\sec\ x\ \tan\ x\ dx$