Integrating Polynomials
Read this topicExplanations 2
- We think of areas as positive, but when using integrals to calculate areas, they can be negative. When an area is negative, it means it is below the xxx-axis. Consider y=2x−5y =…
By Vincent Huang, Stephen Sacchetti, Moor Xu
- I'm only going to give you the basics since I know that you are clever and can figure out the rest. Now, that sounds scary, right? No, you really are smart enough to do it. Just…
By Freya Edholm
Problems 5
- There is a unique twice-differentiable real function f(x)f(x)f(x) such that f′′(x)=0f''(x) = 0f′′(x)=0 for all real xxx and f(0)=19f(0) = 19f(0)=19 and f(1)=99f(1) = 99f(1)=99. …
- Compute ∫12(4x3−3x2+2x) dx\int_1^2 (4x^3 - 3x^2 + 2x) \, dx∫12(4x3−3x2+2x)dx.
- Compute ∫−113t(1−t)2 dt\int_{-1}^1 3t (1-t)^2 \, dt∫−113t(1−t)2dt.
- Integrate ∫(u+7)(3u−2) du\int (u+7)(3u-2) \, du∫(u+7)(3u−2)du.
- Integrate ∫03(1+9t2−15t4) dt\int_0^3 (1 + 9t^2 - 15t^4) \, dt∫03(1+9t2−15t4)dt.