Maths-
General
Easy
Question
- -1
- 0
- 1
Hint:
We are aware that differentiation is the process of discovering a function's derivative and integration is the process of discovering a function's antiderivative. Thus, both processes are the antithesis of one another. Therefore, we can say that differentiation is the process of differentiation and integration is the reverse. The anti-differentiation is another name for the integration.
Here we have given: 
and we have to integrate it. We will use the substitution method to find the answer.
The correct answer is: 0
Now we have given the function as . Here the lower limit is 0 and upper limit is 
. We know that cos 3x is a crucial trigonometric formula that can be used to calculate the integration of cos 3x. The integral of cos ax is given by (1/a) sin ax + C since we know that the derivative of sin aax is "a cos ax" (as the derivative of C is zero).
We have:
So here we used the concept of integrals of special functions and simplified it. We can also solve it manually but it will take lot of time to come to the final answer hence we will use trigonometric formulas. The integral of the given function is 
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