Question
Evaluate : $\int x e^{\left(1+x^2\right)} d x$
✓
Answer
Let $\left(1+x^2\right)=t$
So, 2x dx = dt
$\Rightarrow$
$\begin{aligned} I & =\frac{1}{2} \int e^t d t \\ & =\frac{1}{2} e^t+c \\ & =\frac{1}{2} e^{\left(1+x^2\right)}+c\end{aligned}$
So, 2x dx = dt
$\Rightarrow$
$\begin{aligned} I & =\frac{1}{2} \int e^t d t \\ & =\frac{1}{2} e^t+c \\ & =\frac{1}{2} e^{\left(1+x^2\right)}+c\end{aligned}$
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Q.1. Find the t-statistic for the given data, if mean height of the students is 110 cms.
Q.2. Discuss the suggestion that the mean height of the students of the college is 110 cms.[Given $t_9(0.05)=$2.262]