Let n ≥ 0 be an integer. Compute the integral
My Self Assessment
a) In = nπ for n ≥ 1
Compute
giving the answer in the form
Evaluate
If a, b are positive real numbers compute
If α be a real number, compute the integral
Evaluate I = where a is a positive constant
Let P(x) be a polynomial with real coefficients. Prove that
Compute the integral
Evaluate , n ≥ 0
Evaluate Hence deduce that
Let f(x) be a non constant differentiable function defined on (−∞, ∞) such that f(x) = f(1 – x) and then
a) vanishes at twice an (0, 1)
b)
c)
d)
Multiple correct answers
Let , for n > 1, 2, 3 . . . then
a)
is
Area bounded by and
Solution of the differential equation is
is equal to
a) 0
c) 2
d) None of these
then
vanishes at twice an (0, 1)
