## Wednesday, March 28, 2012

### Question Calculus 28/03/2012 10:58

$\int \! \frac{x^{2}}{\sqrt[4]{x^{3}+2}} \, \mathrm{d} x$

Ans $\frac{4}{9}({x^{3}+2})^{\frac{3}{4}}+C$

### Question Calculus 28/03/2012 10:45

$\int \! \frac{1}{e^{x}+1} \, \mathrm{d} x$

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 $2x^{\frac{1}{2}}+\frac{4}{3}x^{\frac{3}{2}}+\frac{2}{5}x^{\frac{5}{2}}+C$

### Question Calculus 28/03/2012 2:05

$\int \! \frac{x^{3}}{x+1} \, \mathrm{d} x$

Answer $\frac{x^{3}}{3}-\frac{x^{2}}{2}+x-\ln(x+1)+C$

### Question Calculus 28/03/2012 2:02

$\int \! \frac{2x-1}{2x+3} \, \mathrm{d} x$

Answer $x-2\ln(2x+3)+C$

### Question Calculus 28/03/2012 1:52

$\int \! \frac{1}{x^{3}} \, \mathrm{d} x$

Answer $-\frac{1}{2x^{2}}+C$

## Monday, March 5, 2012

### Question Calculus 5/03/2012 11:15

$\lim_{x \to \infty} \frac{x^2x^{\frac{1}{2}} -1}{x^{3}+x^{2}-6}$

$\lim_{x \to 3} \frac{6-\frac{18}{x}}{x-3}$
$\lim_{x \to 3} \frac{x^2 -9}{2x-6}$