∫[(1 + x) / (x + e-x)] dx =
1) log |(x – e-x)| + c 2) log |(x + e-x)| + c 3) log |(1 + xex)| +... View Article
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∫[(x2 + 1) √(x + 1)] dx =
1) \(\begin{array}{l}\frac{(x+1)^{7 / 2}}{7}-2 \frac{(x+1)^{5 / 2}}{5}+2 \frac{(x+1)^{3 / 2}}{3}+C\end{array} \) 2)\(\begin{array}{l}2\left[\frac{(x+1)^{7 / 2}}{7}-2 \frac{(x+1)^{5 / 2}}{5}+2 \frac{(x+1)^{3 / 2}}{3}\right]+C\end{array}... View Article
∫ex [(2 / x) – (2 / x2) dx] =
1) (ex / x) + c 2) (ex / 2x2) + c 3) (2ex / x) + c 4) (2ex... View Article
∫{log √x / (3x)} dx =
1) (1 / 3) (log √x)2 + c 2) (2 / 3) (log √x)2 + c 3) (2 / 3)... View Article
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∫{(ex) [(x – 1) / x2]} dx =
1) (ex / x2) + c 2) (- ex / x2) + c 3) (ex / x) + c 4)... View Article
[latex]\int e^{e^{e^{x}}} \cdot e^{e^{x}} \cdot e^{x} d x=\cdots+C[/latex]
1) ee^x 2) (1 / 2) e2 ee^x 3) ee^e^x 4) (1 / 2) ee^x Solution: (3) ee^e^x \(\begin{array}{l}\begin{array}{l} \int... View Article
∫{(dx) / (x2 √(4 – x2))} =
1) (1 / 4) [(√4 – x2) / x] + c 2) (1 / 2) [(√4 – x2) / x]... View Article
∫[(4ex + 6e-x) / (9ex – 4e-x)] dx =
1) \(\begin{array}{l}\frac{3}{2} x+\frac{35}{35} \log \left|9 e^{2 x}-4\right|+C\end{array} \) 2) \(\begin{array}{l}\frac{3}{2} x+\frac{36}{36} \log \left|9 e^{2 x}-4\right|+C\end{array} \) 3) \(\begin{array}{l}-\frac{3}{2} x+\frac{35}{36} \log... View Article
