Eqn 11c Help
Differentiating loge {u + √(1+u2)} using the 'function of a function' rule we get
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So the anti-derivative (indefinite integral) of 1 / √(1+u2) is loge {u + √(1+u2)}: | |||||||||||||
∫ du / √(1+u2) | = | loge {u + √(1+u2)} |
Differentiating loge {u + √(1+u2)} using the 'function of a function' rule we get
| = |
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= |
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= |
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= |
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So the anti-derivative (indefinite integral) of 1 / √(1+u2) is loge {u + √(1+u2)}: | |||||||||||||
∫ du / √(1+u2) | = | loge {u + √(1+u2)} |