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Rewrite the integrand $\sqrt{t}\left(1+t\right)$ in expanded form
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$\int_{1}^{4}\left(\sqrt{t}+\sqrt{t^{3}}\right)dt$
Learn how to solve definite integrals problems step by step online. Integrate the function t^1/2(1+t) from 1 to 4. Rewrite the integrand \sqrt{t}\left(1+t\right) in expanded form. Expand the integral \int_{1}^{4}\left(\sqrt{t}+\sqrt{t^{3}}\right)dt into 2 integrals using the sum rule for integrals, to then solve each integral separately. The integral \int_{1}^{4}\sqrt{t}dt results in: \frac{14}{3}. The integral \int_{1}^{4}\sqrt{t^{3}}dt results in: \frac{62}{5}.