NCERT solutions for CBSE and other state boards is a key requirement for students. Doubtnut helps with homework, doubts and solutions to all the questions. It has helped students get under AIR 100 in NEET & IIT JEE. Get PDF and video solutions of IIT-JEE Mains & Advanced previous year pap...
【题目】用Newton-Leibniz公式计算下列定积分∫_(-1)^1|x|dx 答案 【解析】∫_(-1)^1|x|dx=∫_(-1)^9-xdx+∫_0^1xdx=-1/2x^2|_(-1)^0+1/2x^2 或∫_(-1)^1|x|dx=2∫_0^1|x|dx=2∫_0^1xdx=x^2∫_0^1=1.(|x|是偶函数)相关...
View Solution ∫x(logx)2dx View Solution ∫[logx−11+(logx)2]2dx = View Solution Exams IIT JEE NEET UP Board Bihar Board CBSE Free Textbook Solutions KC Sinha Solutions for Maths Cengage Solutions for Maths DC Pandey Solutions for Physics ...
Let y = f(x) be any function of x. Then, the indefinite integral with respect to x is given by: {eq}\displaystyle I = \int {ydx} = \int {f(x)dx} {/eq} Required formulas: {eq}\displaystyle \eqalign{ & 1.\,\frac{d}{{dx}} \cdot \ln (f(x)) = \frac{1}{{f(...
\\ = \frac { 1 } { 2 } x ^ { 2 } \ln x - \frac { 1 } { 2 } \int x d x = \frac { 1 } { 2 } x ^ { 2 } \ln x - \frac { 1 } { 4 } x ^ { 2 } + C . $$ 结果一 题目 求∫xlnxdx 答案 解∫xlnxdx=∫lnxd(x^2)/2=1/2x^2lnx-∫((x^2)/2)...
∫1x⋅ln(x)⋅(ln(x))dx Integration By Substitution If we apply substitution on u=ln(x) we get du=1xdx, then, we can just calculate the of a power. Answer and Explanation: Using the substitution above, we have $$\begin{align*} \int \dfrac{1}{x\cdot \ln(x)...
解析 【解析】 $$,解: \int1n(1+x)dx \\ =x \ln(1+x)- \int \frac{x}{1+x}dx \\ =x \ln(1+x)- \int \frac{1+x-1}{1+x}dx \\ =x \ln(1+x)- \int 1dx+ \int \frac{1}{1+x}dx \\ =x \ln(1+x)-x+1n(1+x)+c $$ (c为任意常数) ...
int e^x(3+x) dx 01:49 Evaluate : int(0)^(pi//2) (cosx)/((1+sin x)(2+sinx)) dx 02:49 Evaluate int(1)^(3)(x^(2)-2x)dx 01:28 Evaluate int(0)^(3)(x^(2)-4)dx 00:54 Evaluate int(-pi//3)^(pi//3)(sqrt(1+sin2x))/(|cosx|)dx, 06:02 Evaluate int(0)^(pi...
NCERT solutions for CBSE and other state boards is a key requirement for students. Doubtnut helps with homework, doubts and solutions to all the questions. It has helped students get under AIR 100 in NEET & IIT JEE. Get PDF and video solutions of IIT-JEE Mains & Advanced previous year pap...
解析 $$【解析】ʃ \frac { z } { x \ln x } dx \\ = \int \frac { z } { \ln x } d \ln x \\ = \ln | \ln x | + c $$ 故答案为$$ \ln | \ln x | + c . $$ 结果一 题目 【题目】不定积分-dx= 答案 【解析】∫心 -dx =∫ 之dlnx In =In Ina+c...