# Calculating partial derivative

How can I calculate the following derivative? \begin{align} \frac{\partial\int_{0}^{x_1}f(x_2,y)dy}{\partial x_2} \end{align}

-

By the Leibniz Rule, $$\ \ \ \frac{\partial \int_{0}^{x_{1}}f(x_{2},y)dy}{\partial x_{2}}=\int_{0}^{x_{1}}{ \frac{\partial f(x_{2},y)}{\partial x_{2}} dy}$$.
{"extraction_info": {"found_math": true, "script_math_tex": 0, "script_math_asciimath": 0, "math_annotations": 0, "math_alttext": 0, "mathml": 0, "mathjax_tag": 0, "mathjax_inline_tex": 0, "mathjax_display_tex": 1, "mathjax_asciimath": 0, "img_math": 0, "codecogs_latex": 0, "wp_latex": 0, "mimetex.cgi": 0, "/images/math/codecogs": 0, "mathtex.cgi": 0, "katex": 0, "math-container": 0, "wp-katex-eq": 0, "align": 1, "equation": 0, "x-ck12": 0, "texerror": 0, "math_score": 0.9991673231124878, "perplexity": 6918.1433415942165}, "config": {"markdown_headings": true, "markdown_code": true, "boilerplate_config": {"ratio_threshold": 0.18, "absolute_threshold": 10, "end_threshold": 15, "enable": true}, "remove_buttons": true, "remove_image_figures": true, "remove_link_clusters": true, "table_config": {"min_rows": 2, "min_cols": 3, "format": "plain"}, "remove_chinese": true, "remove_edit_buttons": true, "extract_latex": true}, "warc_path": "s3://commoncrawl/crawl-data/CC-MAIN-2015-22/segments/1432207928757.11/warc/CC-MAIN-20150521113208-00299-ip-10-180-206-219.ec2.internal.warc.gz"}