माना [ • ] महत्तम पूर्णांक फलन (greatest integer function) को दर्शाता है। यदि α = ∫064 (x1/3 - [x1/3]) dx है, तो 1π ∫0απ (sin2θsin6θ + cos6θ) dθ का मान किसके बराबर है?

The value of the definite integral π4 ∫ sec3(x) dx0 is equal to:

The area bounded by the curve y = cos(x) and the x-axis between x = 0 and x = 2π (in sq. units) is:

Let f(x) = sin x and g(x) - f(x) = f(4 - x). What is the value of ∫04 f(x)g(x) dx ?