Calculus Answers

Find the area of the region enclosed by the curves y= x³ - 2x² and y = 2x² - 3x

Use the definition of derivative to find the derivative of h(t) = √ 2x − 1.

A 10 metres long ladder is being pushed towards the side of a wall. The bottom of the ladder is moving toward the wall at a rate of 0.1 meters per second. How fast is the top of the ladder moving up the wall when the bottom of the ladder is 6 meters from the wall?

Use the definition of derivative to find the derivative of h(t) = √ 2x − 1.

Integrals Giving Inverse Trigonometric Functions

1. ∫(x+1)/(x² +1) from 0 to 1

2. ∫(dz)/z(1 + ln² z) from 1 to e

Integrals Giving Inverse Trigonometric Functions

1. ∫(xdx)/√(3-2x-x²)

2. ∫(dy)/(16+y²) from -4 to 4

Integrals Giving Inverse Trigonometric Functions

1. ∫(dx)/(x²+4x+5)

2. ∫(dt)/(t²-t+2)

Integrals Giving Inverse Trigonometric Functions

∫(xdx)/(25+16x⁴)

Integrals Giving Inverse Trigonometric Functions

∫(e^x dx)/√(1-e^(2x))

Integrals Giving Inverse Trigonometric Functions

∫(xdx)/√(4-x²)

Integrals Giving Inverse Trigonometric Functions

∫ dy/√(25+9y²)