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

banganX

banganX

Answered question

2021-10-26

Evaluate the following integral.
0π43sec2xdx

Answer & Explanation

2abehn

2abehn

Skilled2021-10-27Added 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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