Integral - Area Between two curve

9.7 Area bounded by two curves

Week 3 - Day 2

Multiple Choice

What is the area of the bounded region?

• $$\int_0^5\left(x^2-5x\right)\ dx$$

• $$-\int_0^5\left(x^2-5x\right)\ dx$$

• $$\int_{-5}^{\ \ 5}\ \left(x^2-5x\right)\ dx$$

Multiple Choice

What is the area of the bounded region?

• $\int_a^bf\left(x\right)\ dx$

• $\int_b^af\left(x\right)\ dx$

• $\int_{ }^{ }f\left(x\right)\ dx$

• I have no idea

Learning objectives:

I can find area between two curves.

Area between curves

Find area of shaded region

Multiple Choice

Find the area of shaded region.

• $$\int_1^7\left(x^2-6x-2\right)dx-\int_1^7\left(2x-9\right)dx$$

• $$\int_1^7\left(2x-9\right)dx-\int_1^7\left(x^2-6x-2\right)dx$$

• I have no idea