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Merge pull request #316 from APEXCalculus/integration_fix
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Update sec_antider.ptx
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APEXCalculus authored Nov 20, 2024
2 parents 4929075 + 7373f29 commit 01ed8a5
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2 changes: 1 addition & 1 deletion ptx/sec_antider.ptx
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<mrow>\amp\lzoo{x}{cf(x)}=c\cdot\fp(x)\amp\amp\int c\cdot f(x)\,dx= c\cdot \int f(x)\,dx</mrow>
<mrow>\amp\lzoo{x}{cf(x)}=c\cdot\fp(x)\amp\amp\int c\cdot f(x)\,dx= c\cdot \int f(x)\,dx\quad(c\neq 0)</mrow>
<mrow>\amp\lzoo{x}{f(x)\pm g(x)} =\fp(x)\pm g'(x)\amp\amp \int \big(f(x)\pm g(x)\big)\,dx =\int f(x)\,dx\pm \int g(x)\,dx</mrow>
<mrow>\amp\lzoo{x}{C} = 0\amp\amp \int 0\,dx = C</mrow>
<mrow>\amp\lzoo{x}{x} = 1\amp\amp \int 1\,dx = \int dx = x+C</mrow>
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