Antiderivative

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

Guided Notes

Multiple Choice

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

• 6

• 8

• 9

• 12

Multiple Choice

$$\int2x^{-2}dx$$  

• $$2x^{-1}+c$$  

• $$\frac{2}{3}x^{-3}+c$$  

• $$-2x^{-1}+c$$  

• $$-\frac{2}{3}x^{-3}+c$$  

Multiple Choice

$$\int6x^4+3x^2+5x\ +5\ dx$$  

• $$5x^5+3x^4+5x^2\ +5x$$  

• $$5x^5+3x^3+5x^2\ +5x$$  

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

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

Multiple Choice

$$\int_{ }^{ }3x^2+4x\ dx$$  

• $$x^3+4x^2+c$$  

• $$x^3+2x^2+c$$  

• $$\frac{3}{2}x^3+4x^2+c$$  

• $$3x^3+4x^2+c$$  

Multiple Choice

∫ x(x² - 4) dx

• x²/2(x³/3 - 4x) + C
• .25x⁴ -2x² + C
• 3x²- 4 + C
• x⁴ - 4x² + C

Multiple Choice

∫ 3e^x dx

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

Multiple Choice

∫ 4 dx

• 0
• 4t + C
• 4x + C
• 2x² + C

Multiple Choice

∫ - sinx dx

• -cos x + C
• cos x + C
• tan x + C
• 1/√1- x²

Multiple Choice

∫ 1/x dx

• ln x
• ln x + C
• -1/x²
• -1/x² + C

Multiple Choice

∫(4 - 18x)dx

• F(x) = -18

• F(x) = 4x - 9x²

• F(x) = 4x - 9x² + C

• F(x) = (4 - 18x)² /2 + C

Good -Bye!

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