`int ((2018 x^(2017) + 2018^(x) log_(e) 2018)/(x^(2018) + 2018^(x)))dx =`

int_(8)^(2010)(cos^(2018)x)/(cos^(2018)x+cos(2018-x)^(2018))dx

if y=(2018-x)^(2018) then (dy)/(dx) at x=(20)/(7)

The coefficient of x^(2017) in sum_(r = 0)^(2020)2020C_(r)(x-2018)^(2020-r)(2017)^(r) is

Consider the graph of y=f(|x|) Then the value of definite integral int_(1)^(2)((f(x))^(2018))/(1+(f(x))^(2018)+(f(x))^(2020))dx is

Let [x] be the greatest integer less than or equal to x, for a real number x. Then the following sum [(2^(2020) + 1)/(2^(2018) + 1)] + [(3^(2020) + 1)/(3^(2018) + 1)] + [(4^(2020 ) + 1)/(4^(2018) + 1)] + [(5^(2020) + 1)/(5^(2018) + 1)] + [(6^(2020)+1)/(6^(2018)+1)] is

The value of the integral int_(-2018)^(2018)(f'(x)+f'(-x))/(2018^(x)+1)dx is equal to

[(2^(2020)+1)/(2^(2018)+1)] + [(3^(2020)+1)/(3^(2018)+1)] + [(4^(2020)+1)/(4^(2018)+1)] + [(5^(2020)+1)/(5^(2018)+1)] + [(6^(2020)+1)/(6^(2018)+1)]

Find the value of i^(2017)+i^(2018)+i^(2019)+i^(2020) .

The remainder when the determinant |[2014^(2014),2015^(2015),2016^(2016)],[(2017^(2017),2018^(2018),2019^(2019)],[2020^(2020),2021^(2021),2022^(2022)]| is divided by 5 is-