π/4∫ dx/2+3cos²x ,Evaluate it.0
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Answer:
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Answered by
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Answer:
.tan¬1(
)
Step-by-step explanation:
We have to evaluate, .
Let us calculate the indefinite integral of the function first. Then we will put the limits to get the final answer.
∫
=∫
=∫
=∫
=∫
=.tan¬1(
)+ c {Where c is an integration constant)
[Here, we have applied the formula of integration:
∫=
tan¬1(
)]
Now, we will put the limits from x=0 to x=π/4 in this indefinite integral.
Hence,
=.tan¬1(
)-
.tan¬1(0)
=.tan¬1(
)
(Answer)
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