Answer to: Use integration by parts to find \int x \sqrt{9-x} \,dx By signing up, you'll get thousands of step-by-step solutions to your homework...
Solve the integration. Integral of 45 sin(7x) sin(2x) dx. Integrate \int xe^{3x} dx. Integrate: \int x^n \ln x dx Integrate.\\int \frac{\ln (\tan x)}{\sin x \cos x} dx Integrate: \int \sin(2x)\sec(x) dx Integrate: \int \frac{2}{3 + x^2} dx. ...
(Use C for the constant of integration.) \int \frac {2x^2 + x + 2}{(x^2 + 1)^2}dx Evaluate the integral: \int \frac {x^2}{x^2 + 4} dx Evaluate the integral \int \frac {e^{\cos^{-1}{x}{\sqrt{1 - x^2 dx Evaluate the indefinite integral \int \fra...
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\int_{0}^{3}\int_{y^2}^{9}ycos(x^2) dxdy Evaluate the integral \int_0^1\int_{\arcsin{y^{\pi/2}\cos{x}\sqrt{1 + \cos^2x}dxdy by reversing the order of integration. Evaluate the integral by reversing the order of integration. \iint 7e^{x^2} dx dy,...
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\int{\frac{\cos 2x}{\cos 3 x}}\mathrm{d}x.\\ 解答: \begin{aligned} \int{\frac{\cos 2x}{\cos 3x}}\mathrm{d}x&=\int{\frac{\cos x\cos 2x}{\cos x\cos 3x}}\mathrm{d}x\\ &=\frac{1}{2}\int{\frac{\cos x+\cos 3x}{\cos x\cos 3x}\mathrm{d}x}\\ &=\frac{...
Multiplied on the “outside” is 2x, which is the derivative of the “inside” function x2 . Checking: d d sin(x2 ) = cos(x2 ) x2 = 2x cos(x2 ), dx dx so 2x cos(x2 ) dx = sin(x2 ) + C. Even when the chain rule has “produced” a certain derivative, it is not...
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Homework Statement ∫x sin^2 x dx Homework Equations integration by parts ∫u dv= uv-∫ v du The Attempt at a Solution u=x dv=1-cos2x v= 1/2 sin 2x du=dx is that correct i substituted sin^2 x= 1-cos2x Am I allowed to do that. afcwestwarrior Thread Aug 26, 2008 Tags Int...