Definite IntegrationHard
Question
If the value of the integral
dx is α, then the value of
dx is -
Options
A.e4 - e - α
B.2e4 - e - α
C.2(e4 - e) - α
D.2e4 - 1 - α
Solution
Given
dx = α
Now I =
dx = 
Let I1 =
[Put x = et2 so dx = et2 2tdt]
=
dt = α
∴ I = 2e4 - e - α
Now I =
Let I1 =
=
∴ I = 2e4 - e - α
Create a free account to view solution
View Solution FreeMore Definite Integration Questions
If I1 =dx and I2 =f(cos2x) dx, then...For x ∈ R and a continuous function f, let I1 ={x (2 − x)} dx and I2 = {x(2 − x)} dx. Then I1/I2 is...The tangent to the graph of the function y = f(x) at the point with abscissa x =1 form an angle of π/6 and at the p...Which of the following is correct ?...One of the values of ′a′ for which the area bounded by the curve y = 8x2 - x5, straight lines x = 1, x = a a...