MyQuestionIcon

1

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

Geometric Interpretation of Def.Int as Limit of Sum

Evaluate: ∫...

Question

Evaluate: $\int_{π / 6}^{π / 4} cos 2 x d x =$

Open in App

Solution

Consider, $I = \int_{\frac{π}{6}}^{\frac{π}{4}} cos 2 x$

$= {[sin 2 x]}_{\frac{π}{6}}^{\frac{π}{4}}$

$= sin \frac{π}{2} - sin \frac{π}{3} = 1 - \frac{\sqrt{3}}{2}$

$= \frac{2 - \sqrt{3}}{2}$

Suggest Corrections

thumbs-up

0

Similar questions

\int_{- \frac{π}{4}}^{\frac{π}{4}} \frac{x + \frac{π}{4}}{2 - c o s 2 x} d x .

\int_{\frac{π}{6}}^{\frac{π}{4}} csc x d x

I = \int_{π / 6}^{π / 3} sin x d x

\int_{π / 6}^{π / 3} \frac{d x}{1 + \sqrt{cot x}} .

\int_{\frac{π}{6}}^{\frac{π}{3}} \frac{d x}{1 + \sqrt{tan x}}

View More

Join BYJU'S Learning Program

similar_icon

Related Videos

lock

Definite Integral as Limit of Sum

MATHEMATICS

Watch in App

explore_more_icon

Explore more

Geometric Interpretation of Def.Int as Limit of Sum

Standard XII Mathematics

Join BYJU'S Learning Program

CrossIcon