1、
①xdx=12dx2<script type="math/tex" id="MathJax-Element-1659">xdx = \frac{1}{2}dx^2</script>
②xndx=1n+1dxn+1<script type="math/tex" id="MathJax-Element-1660">x^ndx = \frac{1}{n+1}dx^{n + 1}</script>
③1x√dx=2dx√<script type="math/tex" id="MathJax-Element-1661">\frac{1}{\sqrt{x}}dx = 2d\sqrt{x}</script>
④1x2dx=−d1x<script type="math/tex" id="MathJax-Element-1662">\frac{1}{x^2}dx = -d\frac{1}{x}</script>

2、
①axdx=1lnadax<script type="math/tex" id="MathJax-Element-1663">a^xdx = \frac{1}{\ln a}da^x</script>
②exdx=dex<script type="math/tex" id="MathJax-Element-1664">e^xdx = de^x</script>

3、
①1xdx=dln|x|<script type="math/tex" id="MathJax-Element-1665">\frac{1}{x}dx = d\ln|x|</script>

4、
①sinxdx=−dcosx<script type="math/tex" id="MathJax-Element-1666">\sin xdx = -d\cos x</script>
②cosxdx=dsinx<script type="math/tex" id="MathJax-Element-1667">\cos xdx = d\sin x</script>

5、
①secx2dx=dtanx<script type="math/tex" id="MathJax-Element-1668">\sec x^2dx = d\tan x</script>
②cscx2dx=−dcotx<script type="math/tex" id="MathJax-Element-1669">\csc x^2dx = -d\cot x</script>

6、
①secxtanxdx=dsecx<script type="math/tex" id="MathJax-Element-1670">\sec x\tan xdx = d\sec x</script>
②cscxcotxdx=−dcscx<script type="math/tex" id="MathJax-Element-1671">\csc x\cot xdx = -d\csc x</script>

7、
①11−x2√dx=darcsinx<script type="math/tex" id="MathJax-Element-1672">\frac{1}{\sqrt{1 - x^2}}dx = d\arcsin x</script>
②11+x2dx=darctanx<script type="math/tex" id="MathJax-Element-1673">\frac{1}{1 + x^2}dx = d\arctan x</script>