Q. 133.7( 37 Votes )
By using the properties of definite integrals, evaluate the integrals
As we can see f(x) = sin7x and f(-x) = sin7(-x) = (sin (-x))7 = (-sin x)7 = -sin7x.
i.e. f(x) = -f(-x)
so, sin2x is an odd function.
It is also known that if f(x) is an odd function then,
Rate this question :
Evaluate the following:
Mathematics - Exemplar
Using integration find the area of the triangle formed by positive x-axis and tangent and normal to the circle x2 + y2 = 4 at (1, √3).
Evaluate as a limit of a sum.Mathematics - Board Papers