Chapter 6: Q7E (page 363)
Evaluate the integral\(\int {\frac{{{\rm{sin(lnt)}}}}{{\rm{t}}}} {\rm{dt}}\)
Evaluation’s successor is \(\frac{{{\rm{sin(lnt)}}}}{{\rm{t}}}{\rm{dt = - cos(lnt) + C}}\)
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Write out the form of the partial fraction decomposition of the function (as in Example 6). Do not determine the numerical values of the coefficients.
(a)\(\frac{{{x^4} + 1}}{{{x^3} + 4{x^3}}}\)
Use a computer algebra system to evaluate the integral. Compare the answer with the result of using tables. If the answers are not the same, show that they are equivalent.
\(\int {\frac{1}{{\sqrt {1 + \sqrt(3){x}} }}} dx\)
\(\int {{{\cos }^2}} x{\tan ^3}xdx\), Evaluate this integral
Evaluate the integral\(\)\(\int {{{{\mathop{\rm Sin}\nolimits} }^2}x*{\mathop{\rm Cos}\nolimits} x*\ln ({\mathop{\rm Sin}\nolimits} x)dx} \)
Evaluate the Integral \(\begin{aligned}{l}\int {\sqrt {{e^{2x}} - 1} dx} \\\end{aligned}\)
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