$\int_{- 1}^{1} x^{17} c o s^{4} x d x =$ [MP PET 1990]

-2

No worries! We‘ve got your back. Try BYJU‘S free classes today!

-1

No worries! We‘ve got your back. Try BYJU‘S free classes today!

0.0

Right on! Give the BNAT exam to get a 100% scholarship for BYJUS courses

No worries! We‘ve got your back. Try BYJU‘S free classes today!

Open in App

Solution

The correct option is C 0.0
$L e t f (x) = x^{17} c o s^{4} x$
$f (- x) = (- x)^{17} {c o s (- x)}^{4} = - f (x)$
$T h e r e f o r e, \int_{- 1}^{1} x^{17} c o s^{4} x d x = 0$

Suggest Corrections

Similar questions

$\int_{- 1}^{1} x^{17} c o s^{4} x d x =$ [MP PET 1990]

$\int_{0}^{1} e^{2 I n x} d x =$ [MP PET 1990]

$\int_{- 1}^{1} x | x | d x =$ [MP PET 1990; Pb. CET 2004]

From the following, find the correct relation [MP PET 1990]

$\int_{0}^{\frac{π}{2}} \frac{\sqrt{c o t x}}{\sqrt{c o t x} + \sqrt{t a n x}} d x =$ [MP PET 1990, 95; IIT 1983; MNR 1990]

Join BYJU'S Learning Program