Evaluate the following integral. \int_{0}^{\frac{\pi}{4}}3\sec^{2}xdx

banganX 2021-10-26 Answered
Evaluate the following integral.
0π43sec2xdx
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Expert Answer

2abehn
Answered 2021-10-27 Author has 88 answers
Step 1: Given that
Evaluate the following integral.
0π43sec2xdx
Step 2: Formula Used
sec2xdx=tanx+C
Step 3: Solving the Integral
We have,
0π43sec2xdx=3[tanx]0π4
=3[tan(π4)tan(0)]
=3(1)
=3
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