Question

Solve s=4t^3 -2t^2 +5 t +6 by method of intergrantion do help me class 11

Answer 1

Given :-

s = 4t³ - 2t² + 5t + 6

Here, we need to integrate the given equation w.r.t dt.

$\int{ds} = \int{s•dt}$

$s = \int{4{t}^{3}- 2{t}^{2}+ 5t + 6•dt}$

$s = \dfrac{4{t}^{4}}{4} - \dfrac{2{t}^{3}}{3} + \dfrac{5{t}^{2}}{2} + 6t$

s = t⁴ - 2t³/3 + 5t²/2 + 6t

s = (6t⁴ - 2t³ + 5t² + 36t)/6 Answer.....

Formula used in this question,

xⁿ = xⁿ+1/ n+1