Since ( d) is constant with respect to ( x), move ( d) out of the integral.( d∫ (ln)(x)xdx)Integrate by parts using the formula( ∫ udv=uv-∫ vdu), where ( u=(ln)(x)) and ( dv=x).( d((ln)(x)(1/2x^2)-∫ 1/2x^21/xdx))Simplify.( d(((ln)(x)x^2)/2-∫...
What is the integral of∫xlnxdx? Question: What is the integral of∫xlnxdx? Integration by Parts: Iff(x)is a logarithmic function andg(x)is an algebraic function then integration off(x)⋅g(x)is given by ∫f(x)⋅g(x)dx=f(x)∫g(x)dx−∫[∫g(x)dxd(f(x))dx]dx....
A。解析:对于\(\int x\cos xdx\),使用分部积分法,设\(u = x\),\(dv=\cos xdx\),则\(du = dx\),\(v=\sin x\)。根据分部积分公式\(\int u dv=uv-\int v du\),得到\(\int x\cos xdx=x\sin x-\int\sin xdx=x\sin x+\cos x + C\)。选项B中的换元法不适用于此积分。选项C中...
\int \frac{e^{3x}+e^{-3x{e^{3x}-e^{-3xdx. Integrate the following indefinite Integral: integral {1} / {(x^2 + 9)} dx. Integrate the following indefinite integral. integral {(ln x)^3} / {x} dx Integrate the integral of (x^2)/(x^2 + 49)^(3/2) dx. Solve the integr...
I want to evaluate the integral of Xdx+Ydy+Zdz, which is a vector integral. However, I'm not sure if the line integral in Comsol is evaluating a scalar integral or not. Could someone let me know how to evaluate a vector integral?
但是是 ∀ x≥x≥1有有xsin≥≥22cos1sin2xx−=,从而,从而xxsin≥≥=−xx22cos1−x21xx22cos, 所以, 所以dxxx∫1+∞sin≥≥−∫12x+∞dxdxxx∫1+∞22cos, 由以上证明知, 由以上证明知dxxx∫1+∞22cos收敛, 但收敛, 但∫+∞12xdx发散. 故知发散. 故知dxxx∫1+∞sin发发散, 从而散,...
To evaluate the integral integration by parts can be used if the integral contains product of two functions or substitution can be used if the integral is complex integral or combination of both can be used.Answer and Explanation: {eq}\int \frac{xdx}{x^{2}-2x-6}\\ =\frac{1}{2}\...
Answer to: Evaluate the integral \int_{0}^{\frac{\pi }{2}}\sin ^{3}\ x\cos ^{2}\ xdx By signing up, you'll get thousands of step-by-step solutions...
Integral formulas are listed along with the classification based on the types of functions involved. Also, get the downloadable PDF of integral formulas for different functions like trigonometric functions, rational functions, etc.
Question: Evaluate the following integral.∫x10xdx(Type an exact answer. Use parentheses to clearly denote the argument of each function.) There are 3 steps to solve this one.