Maajin Koyon Korafi Na {0}

Bayani Gaba-gaba

A definite integral evaluates an integral between two limits and gives a number: most usefully, the area under a curve between those limits. It turns the abstract idea of integration into concrete areas and totals.

In this lesson you will evaluate definite integrals and apply integration to the evaluation of plane areas.

Nazarin Darasi

Barka da kammala darasi akan Definite Integrals And Areas. Yanzu da kuka bincika mahimman raayoyi da raayoyi, lokaci yayi da zaku gwada ilimin ku. Wannan sashe yana ba da ayyuka iri-iri Tambayoyin da aka tsara don ƙarfafa fahimtar ku da kuma taimaka muku auna fahimtar ku game da kayan.

Za ka gamu da haɗe-haɗen nau'ikan tambayoyi, ciki har da tambayoyin zaɓi da yawa, tambayoyin gajeren amsa, da tambayoyin rubutu. Kowace tambaya an ƙirƙira ta da kyau don auna fannoni daban-daban na iliminka da ƙwarewar tunani mai zurfi.

Yi wannan ɓangaren na kimantawa a matsayin wata dama don ƙarfafa fahimtarka kan batun kuma don gano duk wani yanki da kake buƙatar ƙarin karatu. Kada ka yanke ƙauna da duk wani ƙalubale da ka fuskanta; maimakon haka, ka kallesu a matsayin damar haɓaka da ingantawa.

A definite integral from a to b equals: A. F(a) - F(b) B. F(b) - F(a) C. F(b) + F(a) D. F(b) x F(a) Answer: B
Evaluate the integral of 3x^2 from 0 to 2. A. 4 B. 6 C. 8 D. 12 Answer: C
A definite integral needs a constant of integration: A. yes, always B. no, it cancels C. only sometimes D. only if negative Answer: B
The definite integral of a positive function gives: A. the gradient B. the area under the curve C. the turning point D. the root Answer: B
If part of the curve is below the x-axis, the integral of that part is: A. positive B. negative C. zero D. undefined Answer: B