The value of -10-0-sin x-dx is

Let I=∫^10π_0|sin x|dx Using the properties: ∫_0^nTf(x) dx=n∫_0^Tf(x) dx (T is the period of f(x)) ⇒ I =10∫^π_0|sin x|dx =10∫^π_0sin x dx ∴ I =10[ cos x ...

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

Byju's Answer

Standard XII

Mathematics

First Fundamental Theorem of Calculus

The value of ...

Question

The value of $10 π \int 0 | sin x | d x$ is

20

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

8

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

10

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

18

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

Open in App

Solution

The correct option is A $20$
Let $I = 10 π \int 0 | sin x | d x$
Using the properties:
$n T \int 0 f (x) d x = n T \int 0 f (x) d x (T is the period of f (x))$
$\Rightarrow I = 10 π \int 0 | sin x | d x = 10 π \int 0 sin x d x ∴ I = 10 [- cos x]_{0}^{π} = 20$

Suggest Corrections

Similar questions

Find the value of:

\int_{0}^{2 π} | sin x | d x

Q. If

y = \sqrt{sin x + cos x + \sqrt{sin x + cos x + \sqrt{sin x + cos x + . . . \infty}}}

find the value of

\frac{d y}{d x}

Q. The value of

\int_{0}^{16 π / 3} | s i n x | d x

, is?

Q. The value of

\int_{0}^{2 π} | c o s x - s i n x | d x

, is

Q. The value of

16 π / 3 \int 0 | sin x | d x

Join BYJU'S Learning Program

Explore more

First Fundamental Theorem of Calculus

Standard XII Mathematics

Join BYJU'S Learning Program

The value of 10π∫0|sinx|dx is

The correct option is A 20Let I=10π∫0|sinx|dx Using the properties: nT∫0f(x) dx=nT∫0f(x) dx(T is the period of f(x)) ⇒I=10π∫0|sinx|dx =10π∫0sinx dx∴I=10[−cosx]π0=20

The value of $10 π \int 0 | sin x | d x$ is

The correct option is A $20$
Let $I = 10 π \int 0 | sin x | d x$
Using the properties:
$n T \int 0 f (x) d x = n T \int 0 f (x) d x (T is the period of f (x))$
$\Rightarrow I = 10 π \int 0 | sin x | d x = 10 π \int 0 sin x d x ∴ I = 10 [- cos x]_{0}^{π} = 20$