∫_ 4^4 |x+2|dx= ∫_ 4^ 2 (x+2)dx +∫_ 2^4 (x+2)dx = | x^2/2 2x |^ 2_ 4+ | x^2/2+2x |^4_ 2=20 ...

You visited us 1 times! Enjoying our articles? Unlock Full Access!

Improper Integrals

∫-44 |x+2|dx=

Question

$\int_{- 4}^{4} | x + 2 | d x =$

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

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

None of these

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

Open in App

Solution

The correct option is C 20
$\int_{- 4}^{4} | x + 2 | d x = \int_{- 4}^{- 2} - (x + 2) d x + \int_{- 2}^{4} (x + 2) d x$
$= {∣ ∣ \frac{- x^{2}}{2} - 2 x ∣ ∣}_{- 4}^{- 2} + {∣ ∣ \frac{x^{2}}{2} + 2 x ∣ ∣}_{- 2}^{4} = 20$

Suggest Corrections

Similar questions

4 \int - 4 | x + 2 | d x

\int_{- 4}^{4} | x + 2 | d x

\int_{- 4}^{4} | x + 2 | d x =

\int {|x|}^{3} d x

\frac{- x^{4}}{4} + C

\frac{{|x|}^{4}}{4} + C

\frac{x^{4}}{4} + C

What is the general term in the expansion of (2y-4x)⁴⁴?

Join BYJU'S Learning Program