5.3 The Fundamental Theorem of Calculus/33: Difference between revisions
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<math>\int_{1}^{2}\left(1+2y^2\right)dy</math> | <math>\int_{1}^{2}\left(1+2y^2\right)dy</math> | ||
=<math>\int_{1}^{2}\left(4y^2+4y+1\right)dy</math> | =<math>\int_{1}^{2}\left(4y^2+4y+1\right)dy</math> | ||
=<math>\frac{4y^3}{3}+\frac{4y^2}{2}\bigg|_{1}^{2}</math> | =<math>1y+\frac{4y^3}{3}+\frac{4y^2}{2}\bigg|_{1}^{2}</math> | ||
=<math>2+\frac{32}{3}+\frac{16}{2}-\left(1+\frac{4}{3}+\frac{4}{2}\right)</math> | =<math>2+\frac{32}{3}+\frac{16}{2}-\left(1+\frac{4}{3}+\frac{4}{2}\right)</math> | ||
=<math>\frac{49}{3}</math> | =<math>\frac{49}{3}</math> | ||
Revision as of 19:06, 26 August 2022
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