$$\int_{ }^{ }\frac{\sqrt[3]{x}}{5}dx$$

$$\frac{3\sqrt[3]{x^4}}{20}+c$$

$$\int_{ }^{ }7\sqrt[5]{x^3}dx$$

$$\frac{35}{8}\sqrt[5]{x^8}+c$$

Solve the following differential equation with the given initial condition: $$f\left(x\right)=12x-6,\ f$$

$$f\left(x\right)=2x^3-3x^2+11$$ .

$$\int15x^2\left(x^3+6\right)^{\frac{2}{3}}dx$$

$$3\left(x^3+6\right)^{\frac{5}{3}}+c$$

$$\int\ \frac{18}{\sqrt[]{5-3x}}\ dx$$

$$-12\left(5-3x\right)^{\frac{1}{2}}+c$$

$$\int x\sin\left(7x^2\right)dx$$

$$-\frac{1}{14}\cos\left(7x^2\right)+c$$ .

AP Calculus Integration Review Flashcards

Student preview

29 questions

Show all answers

1.

FLASHCARD QUESTION

Front

∫2x+4dx

Back

x² + 4x + c

2.

FLASHCARD QUESTION

Front

∫cos(4x+5)dx

Back

¼sin(4x + 5) + C

3.

FLASHCARD QUESTION

Front

Back

-5x^-3 - 2x^-4 + C

4.

FLASHCARD QUESTION

Front

Back

56/3

5.

FLASHCARD QUESTION

Front

Back

½

6.

FLASHCARD QUESTION

Front

₂∫⁶ [2f(x) - 3g(x)]dx

Back

26

7.

FLASHCARD QUESTION

Front

Graph of f(x) is shown above. Find ∫₀∫⁹f(x) dx.

Back

2

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