Then ( du_2=2⋅ xe^(x^2)dx), so ( 1/2du_2=e^(x^2)xdx). 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^(...
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f(x) = 3 - (2/5)x Find the derivative of the function: y= x/(sqrt( x^2 + 3 )) Find the derivative of the function. f(x) = 5x^3 \ln (3x) Find the derivative of the function. Integral_{2}^{x^2} 5^2/cos t dt Find the derivative of the function s(t)=47(3t^3-...
Final Answer Thus, the final result of the integral is: ∫xex2dx=12ex2+C --- Similar Questions Evaluate:∫xex2dx View Solution Free Ncert Solutions English Medium NCERT Solutions NCERT Solutions for Class 12 English Medium NCERT Solutions for Class 11 English Medium ...
\int \sin(x) \sin(x+1) dx Integrate the following function by parts. y = x cos x Solve using Integration by Parts: \int_{-1}^1 \frac{x}{e^x}dx Integrate using integration by parts: integral cos(3x)e^(4x)dx Integrate by parts. \sin^2(7x)dx When do you use integration by...
Evaluate the integral: {eq}\; \int xe^{ax^2} \, \mathrm{d}x {/eq}.Question:Evaluate the integral: {eq}\; \int xe^{ax^2} \, \mathrm{d}x {/eq}.Evaluate the Integral:The definite integral of a function is related to the antiderivative and indefinite integral of a function. The...
Evaluate the definite integrals int(0)^(1)(dx)/(sqrt(1+x^(2))) 01:26 Evaluate the definite integrals int(0)^(1)(dx)/(1+x^(2)) 01:05 Evaluate the definite integrals int(2)^(3)(dx)/(x^(2)-1) 01:55 Evaluate the definite integrals int(0)^(pi/2)cos^(2)xdx 02:08 Eval...
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integral (e^x x)/sqrt(e^x-1) dx For the integrand (e^x x)/sqrt(e^x-1), substitute u = sqrt(e^x-1) and du = e^x/(2 sqrt(e^x-1)) dx:= integral 2 log(u^2+1) du Factor out constants:= 2 integral log(u^2+1) du For the integrand log(u^2+1), ...
Integrate: \frac{4x+1}{x^3-x^2+4x-4} Integrate: integral_5^1 x^2 - x - 2 / x + 1 dx. Integrate: \int \dfrac{\cos x}{(1 - \tan x)^2}\ dx Integrate the following function. \int \dfrac{1}{4-x^2} How to integrate 1/x^2 ...