Question

integral(3t^2+5) dt​

Answer 1

Answer:

$\large \text{ \dfrac{2t^{3}}{3} +5t+c }$

Step-by-step explanation:

$\\\\\large \text{we have to find of \int ({3t^2+5}) \, dt }\\\\\\\large using \ integral \ formula \ of \ power \ rule\\\\\\\large \text{ \int({x})^n \, dt=\dfrac{(x)^{n+1}}{n+1}+c }$

$\large \int({3t^2+5})\dt\\\\\\\large \int({3t^2})+ \int ({5}) \\\\\\\large \text{ \dfrac{2t^{2+1}}{2+1} +5t+c }\\\\\\\large \text{ \dfrac{2t^{3}}{3} +5t+c }\\\\\\\large \text {Here c is constant}\\\\\\\large \text{Thus we get answer \dfrac{2t^{3}}{3} +5t+c }$