$\int \! \frac{x^{2}}{\sqrt[4]{x^{3}+2}} \, \mathrm{d} x$
Ans $\frac{4}{9}({x^{3}+2})^{\frac{3}{4}}+C$
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Wednesday, March 28, 2012
Question Calculus 28/03/2012 10:45
$\int \! \frac{1}{e^{x}+1} \, \mathrm{d} x$
Ans: $x-\ln|e^{x}+1|)+C$
Ans: $x-\ln|e^{x}+1|)+C$
Question Calculus 28/03/2012 10:10
$\int \! \frac{(1+x)^{2}}{\sqrt{x}} \, \mathrm{d} x$
Ans $2x^{\frac{1}{2}}+\frac{4}{3}x^{\frac{3}{2}}+\frac{2}{5}x^{\frac{5}{2}}+C$
Ans $2x^{\frac{1}{2}}+\frac{4}{3}x^{\frac{3}{2}}+\frac{2}{5}x^{\frac{5}{2}}+C$
Question Calculus 28/03/2012 2:05
$\int \! \frac{x^{3}}{x+1} \, \mathrm{d} x$
Answer $\frac{x^{3}}{3}-\frac{x^{2}}{2}+x-\ln(x+1)+C$
Answer $\frac{x^{3}}{3}-\frac{x^{2}}{2}+x-\ln(x+1)+C$
Question Calculus 28/03/2012 2:02
$\int \! \frac{2x-1}{2x+3} \, \mathrm{d} x$
Answer $x-2\ln(2x+3)+C$
Answer $x-2\ln(2x+3)+C$
Question Calculus 28/03/2012 1:52
$\int \! \frac{1}{x^{3}} \, \mathrm{d} x$
Answer $-\frac{1}{2x^{2}}+C$
Answer $-\frac{1}{2x^{2}}+C$
Monday, March 5, 2012
Question Calculus 5/03/2012 11:15
$ \lim_{x \to \infty} \frac{x^2x^{\frac{1}{2}} -1}{x^{3}+x^{2}-6} $
Answer : 0
Answer : 0
Question Calculus 5/03/2012 11:11
$ \lim_{x \to 3} \frac{6-\frac{18}{x}}{x-3} $
Answer : 2
Answer : 2
Question Calculus 5/03/2012 10:56
$ \lim_{x \to 3} \frac{x^2 -9}{2x-6} $
Answer : 3
Answer : 3
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