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Joseph Zamudio

Joseph Z.

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Multiplied by x

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Breanna Ollech verified

Numerade educator

Find the area A of the region that is bounded between the curve f(x) = 1 - ln(x) and the line g(x) = x/e - 1 over the interval [1, 6]. Enter an exact answer. Provide your answer below: units^2

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Sanchit Jain verified

Numerade educator

Question Evaluate the indefinite integral given below. [ int-frac{12 sec ^{-1}(3 x)}{x sqrt{9 x^{2}-1}} d x, quad x>0 ] Provide your answer below: [ int-frac{12 sec ^{-1}(3 x)}{x sqrt{9 x^{2}-1}} d x= ] ( square )

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Bcrypt_Sha256$$2B$12$We1Wwocamog01O5I.V2Tkouxdh4Ofnmgpwkor7Leaonfpu0Ubfpua Bcrypt_Sha256$$2B$12$We1Wwocamog01O5I.V2Tkokttmmj7Lscvwvlptp4Rlhbswcdg9.Wy verified

Numerade educator

Question Evaluate the indefinite integral given below. [ int frac{7}{49+4 x^{2}} d x ] Provide your answer below: [ int frac{7}{49+4 x^{2}} d x= ]

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7 Assignment 3 Module 7 Assignment 4 Module 7 Assignment 5 Available Jul 1 at 12 am - Jul 11 at 11:59pm MASTERY CALCULUS I (2024L3-MATH-265-DL2) \( \leftarrow \) Module 7 Assignment 1 CURRENT OBJECTIVE Use substitution to evaluate a definite integral involving an inverse trigonometric function Question Evaluate the definite integral given below. \[ \int_{\frac{2 \sqrt{3}}{3}}^{2} \frac{12}{x \sqrt{9 x^{2}-9}} d x \] Enter your answer in exact form. Provide your answer below: \[ \int_{\frac{2 \sqrt{3}}{3}}^{2} \frac{12}{x \sqrt{9 x^{2}-9}} d x= \] \( \square \) FEEDBACK MORE INSTRUCTION SUBMIT Content attribution

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Available Jul 1 at 12 am - Jul 11 at \( 11: 59 \mathrm{pm} \) MASTERY CALCULUSI (2024L3-MATH-265-DL2) \( \leftarrow \) Module 7 Assignment 1 CURRENT OBJECTIVE Use substitution to evaluate a definite integral involving an inverse trigonometric function Question Evaluate the definite integral given below. \[ \int_{-\frac{1}{2}}^{0} \frac{14}{\sqrt{25-25 x^{2}}} d x \] Enter your answer in exact form. Provide your answer below: \[ \int_{-\frac{1}{2}}^{0} \frac{14}{\sqrt{25-25 x^{2}}} d x= \] \( \square \) FEEDBACK MORE INSTRUCTION SUBMIT Content attribution

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able Jul 1 at 12 am - Jul 11 at 11:59pm MASTERY CALCULUS I (2024L3-MATH-265-DL2) Module 7 Assignment 2 CURRENT OBJECTIVE Determine the area of a region between two curves defined by algebraic functions Question \( R \) is the region bounded by the functions \( f(x)=3 x^{2}+27 x+54 \) and \( g(x)=-\frac{3 x^{2}}{2}-\frac{27 x}{2}-27 \). Find the area \( A \) of \( R \). Enter an exact answer. Provide your answer below: \( A=\square \) units \( ^{2} \) \begin{tabular}{|c|c|c|c|c|c|c|c|} \hline 7 & 8 & 9 & \( \div \) & \( x \) & \( y \) & \( x^{2} \) & \( \sqrt{ } \) \\ \hline 4 & 5 & 6 & \( x \) & \begin{tabular}{l} \( \frac{x}{1} \) \end{tabular} & \( x- \) & \( x \) & \( x_{\square} \) \\ \hline 1 & 2 & 3 & - & \( < \) & \( > \) & \( \pm \) & \( \$ \) \\ \hline 0 & & , & + & \( \% \) & \( \circ \) & : & (I) \\ \hline 8 & \( \nabla \) & & \( = \) & 101 & \( \pi \) & \( \infty \) & \\ \hline \end{tabular} Content attribution FEEDBACK MORE INSTRUCTION SUBMIT

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mal tool Available Jul 1 at 12 am - Jul 11 at \( 11: 59 \mathrm{pm} \) MASTER CALCULUSI (2024L3-MATH-265-DL2) \( \leftarrow \) Module 7 Assignment 1 CURRENT OBJECTIVE Use substitution to find an indefinite integral involving an inverse trigonometric function Question Evaluate the indefinite integral given below. \[ \int-\frac{6 \sec ^{-1}(2 x)}{x \sqrt{4 x^{2}-1}} d x, \quad x>0 \] Provide your answer below: \[ \int-\frac{6 \sec ^{-1}(2 x)}{x \sqrt{4 x^{2}-1}} d x= \] \( \square \) \begin{tabular}{|c|c|c|c|c|c|c|c|} \hline 7 & 8 & 9 & \( \div \) & \( x \) & y & \( x^{2} \) & \( \sqrt{1} \) \\ \hline 4 & 5 & 6 & \( x \) & \begin{tabular}{l} \( \frac{x}{1} \) \end{tabular} & \( x- \) & \( x \) & \( x_{1} \) \\ \hline 1 & 2 & 3 & - & \( < \) & \( > \) & \( \pm \) & \( \$ \) \\ \hline 0 & . &, & + & \% & \( \circ \) & : & (]) \\ \hline 1 & \( \downarrow \) & \( \otimes \) & F & III & \( \pi \) & \( \infty \) & \\ \hline \end{tabular} FEEDBACK MORE INSTRUCTION SUBMIT

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Available Jul 1 at 12 am - Jul 11 at 11 .. CALCULUSI(2024L3-MATH-265-DL2) \( \leftarrow \) Module 7 Assignment 1 CURRENT OBJECTIVE Use substitution to find an indefinite integral involving an inverse trigonometric function Question Evaluate the indefinite integral given below. \[ \int \frac{12}{\sqrt{16-4 x^{2}}} d x \] Provide your answer below: \( \int \frac{12}{\sqrt{16-4 x^{2}}} d x= \) \( \square \) FEEDBACK MORE INSTRUCTION SUBMIT

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CALCULUS I (2024L3-MATH-265-DL2) MASTERY Module 7 Assignment 1 CURRENT OBJECTIVE Use substitution to evaluate a definite integral involving an inverse trigonometric function Question Evaluate the definite integral given below. \[ \int_{0}^{\frac{\sqrt{3}}{3}} \frac{2}{25+25 x^{2}} d x \] Enter your answer in exact form. Provide your answer below: \[ \int_{0}^{\frac{\sqrt{3}}{3}} \frac{2}{25 x^{2}+25} d x= \] \( \square \) FEEDBACK MORE INSTRUCTION SUBMIT Content attribution

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