Integration techniques for cos(ln x)

Описание: Integral of cos(ln x)
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In this video we compute the indefinite integral ∫ cos(ln x) dx using the substitution u = ln x.
After the substitution the integral becomes ∫ e^u cos(u) du, which we solve with integration by parts (or complex exponentials).
A clear, step-by-step derivation is shown and the final antiderivative is presented with explanation.

Perfect for Calculus students learning substitution, integration by parts, and integrals involving logarithms and exponentials.

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   • Integration by substitution  
   • Integration by parts  
   • Trigonometric Integrals  
   • integral exponential functions  
   • integration by partial fractions  
   • definite integrals  


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