Calculus Answers

⌡e^x÷(e^(x/2) -1) dx

In the arithmetic series 2/3+1+4/3...,which term is 25 1/3?

⌡(x+2)√(x+1) dx

⌡x^8÷1+x^18

Using MVT theorem to prove that

x/(1+x^2) < tan (^-1) x < x

Find domain and range of the function f(x)= 1/|x^2-4|

X^3+y^3=3ax^2

Intregate with respect to x :xe^x/(x+1)²

Integral from 0 to 1 of ((1-(x^4))^3/4) divided by ((1+(x)^4))^2)
Answer given is 2^(-9/2) Beta ( 7/4 , 1/4 )

form the PDE
2z=(ax+y)^2 + b