Evaluate
\frac{17}{42}+\frac{2}{d}
Expand
\frac{17}{42}+\frac{2}{d}
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\frac{6\left(4d+7\right)}{42d}-\frac{7\left(d-6\right)}{42d}
To add or subtract expressions, expand them to make their denominators the same. Least common multiple of 7d and 6d is 42d. Multiply \frac{4d+7}{7d} times \frac{6}{6}. Multiply \frac{d-6}{6d} times \frac{7}{7}.
\frac{6\left(4d+7\right)-7\left(d-6\right)}{42d}
Since \frac{6\left(4d+7\right)}{42d} and \frac{7\left(d-6\right)}{42d} have the same denominator, subtract them by subtracting their numerators.
\frac{24d+42-7d+42}{42d}
Do the multiplications in 6\left(4d+7\right)-7\left(d-6\right).
\frac{17d+84}{42d}
Combine like terms in 24d+42-7d+42.
\frac{6\left(4d+7\right)}{42d}-\frac{7\left(d-6\right)}{42d}
To add or subtract expressions, expand them to make their denominators the same. Least common multiple of 7d and 6d is 42d. Multiply \frac{4d+7}{7d} times \frac{6}{6}. Multiply \frac{d-6}{6d} times \frac{7}{7}.
\frac{6\left(4d+7\right)-7\left(d-6\right)}{42d}
Since \frac{6\left(4d+7\right)}{42d} and \frac{7\left(d-6\right)}{42d} have the same denominator, subtract them by subtracting their numerators.
\frac{24d+42-7d+42}{42d}
Do the multiplications in 6\left(4d+7\right)-7\left(d-6\right).
\frac{17d+84}{42d}
Combine like terms in 24d+42-7d+42.
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\int _ { 0 } ^ { 1 } x e ^ { - x ^ { 2 } } d x
Limits
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