Antiderivative

Antiderivative

Presentation

•

Mathematics

•

11th - 12th Grade

•

Hard

Created by

Joseph Anderson

FREE Resource

3 Slides • 10 Questions

1

6-7 & 6-8 FTC and Finding Anti-Derivatives Part 2

Guided Notes

Slide image

2

3

Multiple Choice

If f'(x) = 4x and f(1) = 6, then f(2) =

1

6

2

8

3

9

4

12

4

Multiple Choice

$\int2x^{-2}dx$

1

$2x^{-1}+c$

2

$\frac{2}{3}x^{-3}+c$

3

$-2x^{-1}+c$

4

$-\frac{2}{3}x^{-3}+c$

5

Multiple Choice

$\int6x^4+3x^2+5x\ +5\ dx$

1

$5x^5+3x^4+5x^2\ +5x$

2

$5x^5+3x^3+5x^2\ +5x$

3

$\frac{6}{5}x^5+x^3+5x^2\ +5x\ +c$

4

$\frac{6}{5}x^5+x^3+\frac{5}{2}x^2\ +5x\ +c$

6

Multiple Choice

$\int_{ }^{ }3x^2+4x\ dx$

1

$x^3+4x^2+c$

2

$x^3+2x^2+c$

3

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

4

$3x^3+4x^2+c$

7

Multiple Choice

∫ x(x² - 4) dx

1

x²/2(x³/3 - 4x) + C

2

.25x⁴ -2x²+ C

3

3x²- 4 + C

4

x⁴ - 4x²+ C

8

Multiple Choice

∫ 3e^x dx

1

e^x /3

2

e^x + C

3

3e^x+1/(x+ 1) + C

4

3e^x+ C

9

Multiple Choice

∫ 4 dx

1

0

2

4t + C

3

4x + C

4

2x² + C

10

Multiple Choice

∫ - sinx dx

1

-cos x + C

2

cos x + C

3

tan x + C

4

1/√1- x²

11

Multiple Choice

∫ 1/x dx

1

ln x

2

ln x + C

3

-1/x²

4

-1/x² + C

12

Multiple Choice

∫(4 - 18x)dx

1

F(x) = -18

2

F(x) = 4x - 9x²

3

F(x) = 4x - 9x²+ C

4

F(x) = (4 - 18x)² /2 + C

13

Good -Bye!

I just really wanted to use this gif. :)

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pattern-tertiary

6-7 & 6-8 FTC and Finding Anti-Derivatives Part 2

Guided Notes

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