解(11)$$ \int \ln ^ { 2 } x d x = x \ln ^ { 2 } x - 2 \int \ln x d x = x \ln ^ { 2 } x - 2 x \ln x + 2 x + C $$ (12)$$ \int x ^ { 2 } \ln x d x = \frac { 1 } { 3 } x ^ { 3 } \ln x - \frac { 1 } { 3 } ...
原式=x(lnx)²-∫xd(lnx)²=x(lnx)²-∫x*2lnx*1/xdx=x(lnx)²-2∫lnxdx=x(lnx)²-2xlnx+2∫xdlnx=x(lnx)²-2xlnx+2∫x*1/xdx=x(lnx)²-2xlnx+2∫dx=x(lnx)²-2xlnx+2x+C请放心使用,有问题的话请追问,可以上图哦满意请及时采纳,谢谢,采纳后你将获得5财富值...
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\int\limits_e^\infty 1 \over {x\ln }^2}xdx} Determine whether the improper integral converges or diverges. If it converges, what is the value of integral? I_4 = \int_{2}^{\infty}(5e^{-y/4} + \frac{5}{y^2}) dy Evaluate \int^\infty_1 ...
Answer to: Find the integral. Round the result to two decimal places.\\ \int^4_2 6x\ln xdx By signing up, you'll get thousands of step-by-step...
3求下列不定积分:9) ∫tan^(10)xsec^2xdx(10)∫(ln(x+1)-lnx)/(x(x+1))dx; 4已知关于x的不等式组{x<1x<a的解集是x<1,求a的取值范围. 5已知函数,其中.(I)讨论函数的单调区间;(Ⅱ)当时,令,其中,试比较与的大小,并证明你的结论.反馈...
结果一 题目 .若∫_1^a(2x+1/x)dx=3+ln2 则a的值是 A.5 B.4 C.3 D.2 答案 5D【解析 ∫_1^a(2x+1/x)dx=∫_1^a2xdx+∫_1^a1/xdx=x^2|_1^a+lnx|_1^a=a^2-1+lna=3+ln2,解得a=2.相关推荐 1.若∫_1^a(2x+1/x)dx=3+ln2 则a的值是 A.5 B.4 C....
\int_1^2 4x \sqrt {x^2 + 2} dx Evaluate the integral of \int_1^2 \frac{\sqrt{x^2-1xdx. Evaluate the integral. \int_1^2 \frac{4}{x^4}dx Evaluate the integral \int_1^2 \frac{-9y - 10y^2}{y^3} \, dy Evaluate the given integral. \int_1^2 \frac {5 - 2x...
Integrate: \int x^2 sin(x^3) dx . Integrate: \int 2x\sin(x^2)dx Integrate \int (xdx)/(25+4x^{2}) Integrate: \int e^x\cos xdx Integrate \int x^3 \ e^{2x} \ dx Integrate \int x\sqrt{1 + x} dx. Integrate \int x(3x + 2)^{2/3}dx. Integrate. \\ \int \frac{...
Then we integrate the given function and substitute back the u value Formulas Used {eq}\displaystyle \begin{align} \int a\cdot f\left(x\right)dx&=a\cdot \int f\left(x\right)dx\\ \int xe^xdx&=xe^x-e^x \end{align} {/eq} ...