Basic Integration

Find the integral of x⁴dx/5

• 1/5(x⁵) + C
• x⁵
• x⁵ + C
• x⁴ + C

Find the integral of (3x²+2x)*(x³+x²)dx

• x(5x²+10x+6) + C
• (x³+x²)²/2 + C
• 3x³+6x²+2x + C
• x²(15x²+20x+6) + C

Find the integral of 2x*e^xdx

• e^x(2x+2) + C
• 2e^x + C
• ln(2x) + C
• (x-2)e^x + C

A vehicle is moving at a velocity given by the equation v = 5(x³+4)/8, find the position at x = 4 if when x = 2, p = 25/2

• 55
• 66
• 75
• 14

Find the equation for the velocity of an object whose acceleration is equal to 4x+14.

• 2x² + 14x + C
• 4 + C
• 2x³/3+7x²
• 2x³/3+7x²+C

Find the area under a curve defined by the equation 5x⁴+3x+7 between the x values 0 and 4.

• 1200
• 1/12
• 1134
• 1076

Find the integral of (x²+3x)(2x+3)dx

• 2x³ +9x²+9x + C
• (x²+3x)²/2 + C
• 6x²+18x+9 + C
• ln(x²+3x) + C

Find the integral of x²*e^2xdx

• x*e^2x(2x+2) + C
• x³/3+2e^2x + C
• 2x²*e^2x+2x*e^2x + C
• (2x²−2x+1)e^2x/4 + C

Find the integral of (x-4)dx/(x²-1)

• 3(ln(x+1))/2 - 5(ln(x-1))/2 + C
• 5(ln(x+1))/2 - 3(ln(x-1))/2 + C
• -5(ln(x+1))/2 + 3(ln(x-1))/2 + C
• -3(ln(x+1))/2 + 5(ln(x-1))/2 + C

Find the integral of dx/x

• 1 + C
• -1/x² + C
• ln(x) + C
• dx + C