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Questions: Algebra BusinessCalculus
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Evaluate \(\displaystyle \int \left(- 4 \sec^{2}{\left(x \right)}\right)\, dx\)
Pulling the constant out of the integral gives \(\displaystyle - 4 \int \sec^{2}{\left(x \right)}\, dx\). Taking the integral gives \(\displaystyle - \frac{4 \sin{\left(x \right)}}{\cos{\left(x \right)}}+C\)
\begin{question}Evaluate $\int \left(- 4 \sec^{2}{\left(x \right)}\right)\, dx$
\soln{9cm}{Pulling the constant out of the integral gives $- 4 \int \sec^{2}{\left(x \right)}\, dx$. Taking the integral gives $- \frac{4 \sin{\left(x \right)}}{\cos{\left(x \right)}}+C$}
\end{question}
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\begin{document}\begin{question}(10pts) The question goes here!
\soln{9cm}{The solution goes here.}
\end{question}\end{document}<p> <p>Evaluate <img class="equation_image" title=" \displaystyle \int \left(- 4 \sec^{2}{\left(x \right)}\right)\, dx " src="/equation_images/%20%5Cdisplaystyle%20%5Cint%20%5Cleft%28-%204%20%5Csec%5E%7B2%7D%7B%5Cleft%28x%20%5Cright%29%7D%5Cright%29%5C%2C%20dx%20" alt="LaTeX: \displaystyle \int \left(- 4 \sec^{2}{\left(x \right)}\right)\, dx " data-equation-content=" \displaystyle \int \left(- 4 \sec^{2}{\left(x \right)}\right)\, dx " /> </p> </p><p> <p>Pulling the constant out of the integral gives <img class="equation_image" title=" \displaystyle - 4 \int \sec^{2}{\left(x \right)}\, dx " src="/equation_images/%20%5Cdisplaystyle%20-%204%20%5Cint%20%5Csec%5E%7B2%7D%7B%5Cleft%28x%20%5Cright%29%7D%5C%2C%20dx%20" alt="LaTeX: \displaystyle - 4 \int \sec^{2}{\left(x \right)}\, dx " data-equation-content=" \displaystyle - 4 \int \sec^{2}{\left(x \right)}\, dx " /> . Taking the integral gives <img class="equation_image" title=" \displaystyle - \frac{4 \sin{\left(x \right)}}{\cos{\left(x \right)}}+C " src="/equation_images/%20%5Cdisplaystyle%20-%20%5Cfrac%7B4%20%5Csin%7B%5Cleft%28x%20%5Cright%29%7D%7D%7B%5Ccos%7B%5Cleft%28x%20%5Cright%29%7D%7D%2BC%20" alt="LaTeX: \displaystyle - \frac{4 \sin{\left(x \right)}}{\cos{\left(x \right)}}+C " data-equation-content=" \displaystyle - \frac{4 \sin{\left(x \right)}}{\cos{\left(x \right)}}+C " /> </p> </p>