The value of _0^2 [ 2x(1+ 3x) ]dx, where [t] denotes the greatest integer function, is:

Question

Accepted Answer

Correct answer: B. (b) JEEN Main 2019 I= ( sin2x(1+ cos3x) ) dx … (i) ∵ f (x )= f(a-x) dx ∴I= (- sin2x(1+ cos3x)) dx … (ii) From (i) and (ii), we get 2I= (-1) dx ⇒2I=- (x )_0^2 ⇒I=-

$The value of \int_{0}^{2 π} [sin 2 x (1 + cos 3 x)] d x, where [t] denotes the greatest integer function, is:$

Solution

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