Notes in 03不定积分公式

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Published	10/05/2024	不定积分公式1\(\displaystyle\int x^{\alpha} d x=\text{______.}\)
Published	10/05/2024	不定积分公式2\(\displaystyle\int \frac{1}{x^2} \mathrm{~d} x=\text{______.}\)
Published	10/05/2024	不定积分公式3\(\displaystyle\int \frac{1}{\sqrt{x}} \mathrm{~d} x=\text{______.}\)
Published	10/05/2024	不定积分公式4\(\displaystyle\int \frac{1}{x} d x=\text{______.}\)
Published	10/05/2024	不定积分公式5\(\displaystyle\int a^{x} d x=\text{______.}\)
Published	10/05/2024	不定积分公式6\(\displaystyle\int e^{x} d x=\text{______.}\)
Published	10/05/2024	不定积分公式7\(\displaystyle\int \sin x \mathrm{~d} x=\text{______.}\)
Published	10/05/2024	不定积分公式8\(\displaystyle\int \cos x \mathrm{~d} x=\text{______.}\)
Published	10/05/2024	不定积分公式9\(\displaystyle\int \frac{1}{\cos ^{2} x} \mathrm{~d} x=\text{______.}\)
Published	10/05/2024	不定积分公式10\(\displaystyle\int \frac{1}{\sin ^{2} x} \mathrm{~d} x=\text{______.}\)
Published	10/05/2024	不定积分公式11\(\displaystyle\int \sec x \tan x \mathrm{~d} x=\text{______.}\)
Published	10/05/2024	不定积分公式12\(\displaystyle\int \csc x \cot x \mathrm{~d} x=\text{______.}\)
Published	10/05/2024	不定积分公式13\(\displaystyle\int \tan x \mathrm{~d} x=\text{______.}\)
Published	10/05/2024	不定积分公式14\(\displaystyle\int \cot x \mathrm{~d} x=\text{______.}\)
Published	10/05/2024	不定积分公式15\(\displaystyle\int \sec x \mathrm{~d} x=\text{______.}\)
Published	10/05/2024	不定积分公式16\(\displaystyle\int \csc x \; d x=\text{______.}\)
Published	10/05/2024	不定积分公式17\(\displaystyle\int \frac{1}{a^{2}+x^{2}} \mathrm{~d} x=\text{______.}\)
Published	10/05/2024	不定积分公式18\(\displaystyle\int \frac{1}{x^{2}-a^{2}} \mathrm{~d} x=\text{______.}\)
Published	10/05/2024	不定积分公式19\(\displaystyle\int \frac{1}{a^{2}-x^{2}} d x=\text{______.}\)
Published	10/05/2024	不定积分公式20\(\begin{align}\displaystyle\int \frac{1}{\sqrt{a^{2}-x^{2}}} \mathrm{~d} x=\text{______.}\end{align}\)
Published	10/05/2024	不定积分公式21\(\displaystyle\int \frac{1}{\sqrt{x^{2}+a^{2}}} \mathrm{~d} x=\text{______.}\)
Published	10/05/2024	不定积分公式22\(\displaystyle\int \sqrt{x^{2}+a^{2}} d x=\text{______.}\)
Published	10/05/2024	不定积分公式23\(\displaystyle\int \frac{1}{\sqrt{x^{2}-a^{2}}}\; \mathrm{d} x =\text{______.}\)
Published	10/05/2024	不定积分公式24\(\displaystyle\int \sqrt{x^{2}-a^{2}} d x=\text{______.}\)
Published	10/05/2024	不定积分公式25\(\displaystyle\int \sqrt{a^{2}-x^{2}} d x=\text{______.}\)
Published	10/05/2024	不定积分公式26\(\displaystyle\int \sec ^{3} x d x=\text{______.}\)
Published	10/05/2024	不定积分公式27\(\displaystyle\int \csc ^{3} x d x=\text{______.}\)
Published	10/05/2024	不定积分公式28\(\displaystyle\int e^{a x} \cdot \sin (b x) d x=\text{______.}\)
Published	10/05/2024	不定积分公式29\(\displaystyle\int e^{a x} \cdot \cos (b x) d x=\text{______.}\)
Published	10/05/2024	不定积分公式30\(\displaystyle\int \frac{a_{1} \sin x+b_{1} \cos x}{a \sin x+b \cos x} \mathrm{~d} x\)=_____.
Published	10/05/2024	序号不定积分公式表格1 \(\displaystyle\int x^{\alpha} d x=\)____2 \(\displaystyle\int \frac{1}{x^2} \mathrm{~d} x=\)____3 \(\displaystyle\int \fra…
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