Calculus formula dxsinx = cosx cosx =-sinx tanx = sec2xcotx =-csc2xsecx = secxtanxcscx =-cscxcotx.

1、∫x^αdx=x^(α+ 1)/(α+ 1)+c(α≠- 1)

2、∫ 1/xdx=ln|x|+C

3、∫a^xdx=a^x/lna+C

4、∫e^xdx=e^x+C

5、∫cosxdx=sinx+C

6、∫sinxdx=-cosx+C

7、∫(secx)^2dx=tanx+

8、∫(cscx)^2dx=-cotx+C

9、∫secxtanxdx=secx+C

10,∫cscxcotxdx = cscx+C

1 1、∫ 1/( 1-x^2)^0.5dx=arcsinx+c

Calculus: Advanced Mathematics (1) is one of the series textbooks of basic mathematics courses for various majors of economic management in colleges and universities. The book is divided into eight chapters, including: function and its graph, limit and continuity, derivative and differential, application of mean value theorem and derivative, integral calculus of one variable, calculus of multivariate functions, infinite series and ordinary differential equations.