Question

Value of is ∫cos 30°dx :​

Answer 1

Answer:

in decimals is 0.866 and as a fraction is √3/2.

Answer 2

$\displaystyle \sf{ \int \: cos \: {30}^{ \circ} \: dx } = \frac{ \sqrt{3} }{2}x + c$

Given :

The integral

$\displaystyle \sf{ \int \: cos \: {30}^{ \circ} \: dx }$

To find :

Integrate the integral

Solution :

Step 1 of 2 :

Write down the given Integral

The given Integral is

$\displaystyle \sf{ \int \: cos \: {30}^{ \circ} \: dx }$

Step 2 of 2 :

Integrate the integral

$\displaystyle \sf{ \int \: cos \: {30}^{ \circ} \: dx }$

$\displaystyle \sf{ = \int \: \frac{ \sqrt{3} }{2} \: dx }$

$\displaystyle \sf{ = \frac{ \sqrt{3} }{2} \int dx }$

$\displaystyle \sf{ = \frac{ \sqrt{3} }{2} x + c }$

Where c is integration constant

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