REVIEW Antiderivatives

∫(4 - 18x)dx

• F(x) = -18
• F(x) = 4x - 9x²
• F(x) = 4x - 9x² + C
• F(x) = (4 - 18x)² /2 + C

∫ t⁶ dt

• 6t⁵
• 6t⁵ + C
• 1/7 t⁷ + C
• t⁷ + C

∫ x(x² - 4) dx

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

∫sec²x dx =

• -cotx + C
• cotx + C
• -tanx + C
• tanx + C

Find the particular solution: f"(x) = 2, f'(1) = 4, f(1) = 8

• 2x + c

• 2x² + 2x + 4

• x² + 2x + 5

• x² + 2x + c

∫ 3e^x dx

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

∫cscxcotx dx =

• cscx + C
• -cscx + C
• cotx + C
• -cotx + C

• None of these

• -60x^-5 - 40x^-6 + C

• -45x^-3 - 32x^-4 + C

• 15x^-3 + 8x^-4 + C

• -5x^-3 - 2x^-4 + C