alleryStart learning →Show that the integral of x^3 cos x over [-1, 1] equals which number?
A-1
B0
C2
D1
Answer & Solution
Correct answer: B. 0
x^3 is odd and cos x is even, so the product is odd and the symmetric integral is 0.
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.Evaluate the integral of sin^4 x/(sin^4 x + cos^4 x) from x = 0 to x = pi/2.Combining even and odd parts, the integral of (x^2 + x^3) over [-3, 3] is