Strategy: Use Integration by Parts. Free math lessons and math homework help from basic math to algebra, geometry and beyond. Students, teachers, parents, and everyone can find solutions to their math problems instantly.

2021年12月19日 · \int \ln {x}\mathrm {d}x 为解决这一问题，直接使用分部积分公式即可，令： u = \ln {x},v = \mathrm {x} 进一步得到： \mathrm {d}u = \frac {1} {x}\mathrm {d}x, \mathrm {d}v = \mathrm {d}x 根据分部积分公式： \int u…

\lim _{x\to 0}(x\ln (x)) \int e^x\cos (x)dx \int_{0}^{\pi}\sin(x)dx \sum_{n=0}^{\infty}\frac{3}{2^n} Show More

2018年5月8日 · 现在就是∫ln x dx 那就把v(x)当作ln x. u'(x)当作1， u(x)就等于x. ∫ln x dx=x × ln x －∫x×1/x dx＋c ＝xlnx－x +c

Integral calculus allows us to find a function whose differential is provided, so integrating is the inverse of differentiating. It defines and computes the area of a region constrained by the graph of a function. Integration developed historically from the process of exhaustion, in which inscribing polygons approximated the area of a curved form.

Strategy: Use Integration by Parts.

2023年11月14日 · $$= \int d(x\cdot\ln(\ln x)) - \int \frac{1}{\ln x}dx$$ $$ = x\cdot\ln(\ln x) + c - \int \frac{1}{\ln x}dx$$ The right hand side integral is also known as "logarithmic integral" and is denoted by $\operatorname{li}(x)$ .

Solve your math problems using our free math solver with step-by-step solutions. Our math solver supports basic math, pre-algebra, algebra, trigonometry, calculus and more.

How to Solve the Integral of ln(x) The indefinite integral of ln(x) is given as: ∫ ln(x)dx = xln(x) – x + C. The constant of integration C is shown because it is the indefinite integral. If taking the definite integral of ln(x), you don't need the C. There is no integral rule or shortcut that directly gets us to the integral of ln(x).

The calculator will find the integral/antiderivative of ln(x), with steps shown.