Evaluate: int("log"(tan(x/2)))/(sinx)dx 04:32 Evaluate: int(sqrt(2+logx))/xdx 00:53 Evaluate: int(logx)/((1+logx)^2)dx 02:24 int[sin(logx)+cos(logx)]dx 02:12 Evaluate: inte^x((1-sinx)/(1-cosx))dx 02:51 Evaluate: int(e^x x)/((x+1)^2)dx 01:47 If f(x) ...
答案 ∫tanxdx=∫tanxdx=∫tanxdx=∫tanxdx=1/2(tanx)^2+ln|cosx|+C. 结果二 题目 求下列不定积分:xtan2xdx. 答案 fxtan2xdx-fx(sec'x-1)dx=∫xd(tanx)- =xt anx+In}c osx|-+C.相关推荐 1求下列不定积分:∫tan^3xdx 2求下列不定积分:xtan2xdx.反馈...
解析 解: $$ 原式= \int x(sec^{2}x-1)dx \\ = \int xsec^{2}xdx- \int xdx \\ = \int xd(\tan x)- \frac{x^{2}}{2} \\ =x \tan x-5 \frac{d(- \cos x)}{\cos x}- \frac{x^{2}}{2} \\ =x \tan x+Cu| \cos x|- \frac{x^{2}}{2}+c $$ ...
View Solution ∫xtanxdx View Solution Free Ncert Solutions English Medium NCERT Solutions NCERT Solutions for Class 12 English Medium NCERT Solutions for Class 11 English Medium NCERT Solutions for Class 10 English Medium NCERT Solutions for Class 9 English Medium ...
∫tan2xx−tanxdx Integration Using U-Substitution: If we cannot solve an integral using the table of integrals then we will see whether the integral has one of its parts as the derivative of the other part. If so, we solve it using the substitution method. Answer and Explanation...
Integrate: ∫sec2xtanxdx Indefinite Integral: The integration of the given function can be solved using the method of substitution, which simplifies the integrand, thus making it easier to integrate. Answer and Explanation: The given integral is: ∫sec2xtanxdx Now it can ...
求下列不定积分∫tan^2xdx 答案 解∫tan^2xdx=∫(sin^2x)/(cos^2x)dx=∫(1-cos^2x)/(cos^2x)dx=∫((dx)/(cos^2x)-∫(dx)=tanx-x+C. cos X 结果二 题目 求下列不定积分:求下列不定积分: 答案 \$\int \tan ^ { 3 } x \mathrm { d } x = \int \tan x \left( \tan ^ {...
例11 求不定积分$$ \int \tan ^ { 2 } x d x . $$ 相关知识点: 试题来源: 解析 解$$ \int \tan ^ { 2 } x d x = \int ( s c c ^ { 2 } x - 1 ) d x = \int s e c ^ { 2 } x d x - \int 1 d x = \tan x - x + C $$ ...
\int \frac{(3x-9)}{(x-1)(x+2)^2} dx Evaluate the integral. \int {x + 1} \over x^2} + 2xdx} Evaluate the integral \int \frac{2}{\theta^3 \sqrt{\theta^2-1 \, d\theta , where \theta \gt 1 Evaluate the integral. \int \frac{9x}{\sqrt{x-4dx Evaluate the integral...
Integrate ∫sec2xtan3xdx Integration by Substitution: The substitution rule is the integral analogue of the chain rule for derivatives. It says that ∫f(u(x))u′(x)dx=∫f(u)du for any functions f,u. Many integrals can be simplified by noticing that their integrands can be...