#### Integration problem 1

Integral taken from instagram user @integralsforyou

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\int\frac{x^2+a}{x^2+b^2}dx |

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=\int(\frac{x^2+b^2}{x^2+b^2}+\frac{a-b^2}{x^2+b^2})dx |

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=\int(1)dx+(a-b^2)\int\frac{1}{b^2+x^2}dx |

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=x+(\frac{a-b^2}{b})\arctan(\frac{x}{b})+C |