Answer to: The integral \int_{0} ^{1} ln x dx converges Find its value, using limit notation correctly and simplifying your final answer. You will...
Evaluate int(0)^(pi//4)(dx)/(1+sinx) 07:42 Evaluate int(0)^(pi//2)cos^(4)xdx 03:42 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...
【解析】 解 0与1都是被积函数的瑕点. $$ \int _ { 0 } ^ { 1 } \frac { d x } { \sqrt { x } \ln x } = \int _ { 0 } ^ { \frac { 1 } { 2 } } \frac { d x } { \sqrt { x } \ln x } + \int _ { \frac { 1 } { 2 } } ^ { 1 }...
【解析】 解 因为$$ \ln x \rightarrow - \infty ( x \rightarrow 0 ^ { + } ) $$,故$$ x = 0 $$是一个瑕点.用分部积分法,得 $$ \int _ { 0 } ^ { 1 } \ln x d x = x \ln x | _ { 0 ^ { x } } ^ { 1 } - \int _ { 0 } ^ { 1 } d x = - 1 ...
If P=int_0^oo(x^2)/(1+x^4)dx ; Q=int_0^oo(x dx)/(1+x^4)"and"R=int_0^oo(dx)/(1+x^4), then prove that : View Solution The value of∫∞0x[(1+x)(1+x2)]dxis (A)π4(B)π2(C) same as∫∞0dx[(1+x)(1+x2)](D) cannot be evaluated ...
∫f(x)⋅g(x)dx=f(x)∫g(x)dx−∫[∫g(x)dxd(f(x))dx]dx. Answer and Explanation:1 We are given integral ∫xlnxdx Perform the indefinite integral using integration by parts: {eq}\begin{align} \implies \int x \ln... ...
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由于$$ \lim _ { x \rightarrow 1 } \frac { \ln x } { 1 - x } = \lim _ { x \rightarrow 1 } \frac { \frac { 1 } { x } } { - 1 } = - 1 $$,故$$ x = 1 $$不是瑕点.$$ x = 0 $$为唯一瑕点.因$$ \lim _ { x \rightarrow 0 } x ^ { ...
\ln x = 0 , $$ 而$$ \int _ { 0 } ^ { 1 } \frac { d x } { \sqrt [ 3 ] { x ^ { 2 } } } $$收敛,因此$$ \int _ { 0 } ^ { 1 } \frac { - \ln x } { \sqrt { x } } d x $$ 数.由此可得½ $$ \frac { \ln x } { \sqrt { x ...
View Solution निम्न समाकलों के मान ज्ञात कीजिए- ∫2/π4/π(−1x3)cos(1x)dx View Solution निम्न समाकलों से मान ज्ञात कीजिए ...