how to integrate 1/√1+x^2
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Integrate dx / √(1 + x²)
let x = tan y
dx = sec² y dy
f(x) dx = sec² y dy / sec y = sec y dy
The formula for the Integral of secy dy
= Log | Sec y + Tan y | + K
= Log | √(1+x²) + x | + K
You can differentiate it once and check the answer.
let x = tan y
dx = sec² y dy
f(x) dx = sec² y dy / sec y = sec y dy
The formula for the Integral of secy dy
= Log | Sec y + Tan y | + K
= Log | √(1+x²) + x | + K
You can differentiate it once and check the answer.
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