Calculus Jeopardy

Integration

100

The integral of -24x⁵ dx

What is -4x⁶ + C

200

The integral of (-24x⁵ - 10x) dx

What is -4x⁶ -5x² + C

300

The integral of -4/x³ - 8/x⁵ dx

What is 2/x² + 2/x⁴ + C

400

The integral of -14x^5/2 / 2 dx

What is -2X^7/2 + C

500

The integral of -5 ³sqrt(x²) / 3 dx

What is -X^5/3 + C

Logarithms

100

The root of log₄ 3x=2

What is x=16/3

200

The root of log₄ 3x = log₄ 2

What is x = 2/3

300

The root of x log5 - log5 = log7 

x = 2.209

400

The root of ln 10 = x

What is x= 2.203

500

The extranious solution log(x+2) + log (x-1) = 1

What is x= -4, 3

Derivative

100

The derivative of y = x⁵ e^2x

What is x⁴ e^2x (2x + 5)

200

The derivative of x⁵ - 2e^6x

What is 5x⁴ - 12e^6x

300

The derivate of y = e^{x^2/3}

What is 2e^{x^2/3} / 3x^1/3

400

The derivative of y = e^{-2/x^3}

What is 6 / x⁴ e^{2/x^3}

500

Derivative range 

1

     15x²e^{x^3} dx

0 

What is 8.59