( (∫ )_1^2e-xdx) 相关知识点: 试题来源: 解析 Split the single integral into multipleintegrals. ( (∫ )_1^2edx+(∫ )_1^2-xdx) Since ( e) is constant with respect to ( x), move ( e) out of the integral. ( ex]_1^2+(∫ )_1^2-xdx) Since ( -1) is constant wit...
Integrate by parts using the formula( ∫ udv=uv-∫ vdu), where ( u=x^2) and ( dv=e^(4x)).( x^2(1/4e^(4x))-∫ 1/4e^(4x)(2x)dx)Simplify.( (x^2e^(4x))/4-∫ (e^(4x)x)/2dx)Since ( 1/2) is constant with respect to ( x), move ( 1/2) out of the inte...
Answer to: Evaluate the following integral using the integration by parts. \int x^2e^x dx By signing up, you'll get thousands of step-by-step...
Evaluate: integral of (2e^x)x dx. Evaluate the integral. \int_8^9 \frac{1}{x^2 - 1} dx Evaluate the integral of 2cos(5x) dx. Evaluate the integral \int_1^2 2(1 + \ln x) x^x \,dx Evaluate the integral int_{3}^{T} 12/sqrt{x} dx ...
Answer to: Find the indefinite integral. Integral of x^3 e^(5x^2) dx. By signing up, you'll get thousands of step-by-step solutions to your...
Answer to: Evaluate the integral: integral from 0 to infinity of (dx)/(sqrt x)(1 + x). By signing up, you'll get thousands of step-by-step...
Rewrite using ( u_2) and ( d)( u_2).(∫ 1/2du_2)Since ( 1/2) is constant with respect to ( u_2), move ( 1/2) out of the integral.( 1/2u_2+C)Replace all occurrences of ( u_2) with ( e^(x^2)).( 1/2e^(x^2)+C)...
Since ( 12) is constant with respect to ( u), move ( 12) out of the integral. ( -(12(∫ )_0^(-2)e^udu)) The integral of ( e^u) with respect to ( u) is ( e^u). ( -12e^u]_0^(-2)) Substitute and simplify. ( -12(e^(-2)-1)) Evaluate. ( -1(2e^2)+12...
We prove local smoothing estimates for the Fourier integral operators of the form f(x,t)=∫2ei(xξ+t|ξ|)a(x,t,ξ)f(ξ)dξ for a wide class of symbols a∈Sm(2××2), m ≤ 0. Our result generalises the local smoothing estimate of Mockenhaupt, Seeger and Sogge, and is a ...
46 objects are detected in the hard X-ray band for the first time. The cumulative LogN-LogS distribution of non-blazar AGNs, based on 356 sources detected at S/N>4.5 sigma, is measured down to flux 2E-12 erg/s/cm^2 and can be described by a power law with a slope of 1.44 +/...