alleryStart learning →How large is the integral of cos^2 x when x runs from -pi/2 to pi/2?
A1
Bpi
Cpi/2
Dpi/4
Answer & Solution
Correct answer: C. pi/2
cos^2 x is even, so the value is 2 times the integral from 0 to pi/2, which is 2 x pi/4 = pi/2.
Keep practising Definite Integration
Browse all Definite Integration questions for MHT-CET, or explore more Mathematics topics.
Related questions
Evaluate the integral of dx/root x between x = 4 and x = 9.A chain-rule integral: cos 3x integrated over [0, pi/6] givesFind the definite integral of 1/(1 + x) from x = 0 up to x = 1.Even-function shortcut: the integral of x^4 over [-2, 2] equalsWith upper bound log 2, the integral of e^x starting from 0 isCompute the integral of 3x^2 + 2x as x moves from 1 to 2.Show that the integral of x^3 cos x over [-1, 1] equals which number?Evaluate the integral of sin^4 x/(sin^4 x + cos^4 x) from x = 0 to x = pi/2.