Integrals of Polynomials

Determine the integral rule of the given expression:

• n*x^n-1 + C
• (n+1)*xⁿ⁺¹ + C
• ¹/_n-1 * x^n-1 + C
• ¹/_n+1 * xⁿ⁺¹ + C

• 2/3 x³
• 2x+C
• 4x+C
•  2/3 x³ +C 

• x² + C
• 1/2 x² + C
• 1/4 x² + C
• 2x² + C

 $\int_{ }^{ }\ \frac{3}{2x^5}dx\ =\ ...$  

•  $-\frac{3}{2x^6}+c$  

•  $\frac{3}{2x^4}+c$  

•  $\frac{3}{8x^3}+c$  

•  $-\frac{3}{8x^4}+c$  

Determine the integral rule of the given expression:

• x^-2 + C
• ^-2/_x³ + C
• ^-1/_x + C
• ²/_x + C

 $\int\frac{6}{x^4}dx=....$  

•  $\frac{-2}{x^3}+c$  

•  $\frac{-3}{x^3}+c$  

•  $-2x^3+c$  

•  $-3x^3+c$  

Determine the integral rule of the given expression:

• x^1/2 + C
• ¹/_(2√x) + C
• ³/₂*x^3/2 + C
• ²/₃*x^3/2 + C

 $\int_{ }^{ }\sqrt{x^5}\ dx\ =\ ...$  

•  $\frac{2}{7}x^{3\ }\sqrt{x}+\ C$  

•  $\frac{2}{5}x^3\sqrt{x}\ +\ C$  

•  $\sqrt{5x^4}\ +\ C$  

•  $\sqrt{\frac{1}{6}x^6}\ +\ C$  

•  $5x^{4\ }+\ C$  

• 
• 3x³-2x²+5x+C

• 3x³+2x²+5x+C

• 18x³-2x²+5x+C

• 18x³+2x²+5x+C

 $\int_{ }^{ }4x^3+6x^2+10\ =...$  

•  $x^4+3x_{ }^3+10\ +c$  

•  $x^4+2x^3+10x\ +c$  

•  $12x^3+12x^2+10\ +c$  

•  $x^4+3x^3+10x+c$  

•  $\frac{1}{4}x^4+2x^{3^{ }}+10+c$