11x dx Since this function does not have an elementary antiderivative, use integration by parts to evaluate the integral. The general formula for integration by parts is shown below. uv- du If u dvD 11x xe dx, determine good choices for u and dv. Since the derivative of an exponential function is an exponential function, the choice u= e integration. 11x would not simplify the Let u =x and dv = e 11x dx. Ifu=x, then du =1 dx. If dy = e 11x dx, determine v. A Please exphin 11x dx In detail how to get from A to B to C 11 e 11x dx %3D 11x Now, calculate uv. Substitute and multiply. uv = %3D 11x xe Next, calcutate v du. Substitute and multiply. v du = 11x e dx e 11x dx Substitute the expressions in the formula and integrate.

Calculus: Early Transcendentals
8th Edition
ISBN:9781285741550
Author:James Stewart
Publisher:James Stewart
Chapter1: Functions And Models
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Problem 1RCC: (a) What is a function? What are its domain and range? (b) What is the graph of a function? (c) How...
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dx
Since this function does not have an elementary antiderivative, use integration by parts to evaluate the integral. The general
formula for integration by parts is shown below.
Suar-w- fvdu
If
11x
хе
dx, detemine good choices for u and dv.
11x
would not simplify the
Since the derivative of an exponential function is an exponential function, the choice u= e
integration.
Let u=x and dv = e
11x
dx.
Ifu=x, then du = 1 dx. If dv = e
11x
dx, determine v.
Please explain
v =
11х dx
in detail how
to get from
A to B to C
11 e 11x dx
%3D
%3D
11x
Now, calculate uv. Substitute and multiply.
uv =
11x
xe
11
Next, calcutate v du, Substitute and multiply.
v du =
dx
11x dx
%3D
Substitute the expressions in the formula and integrate.
Transcribed Image Text:dx Since this function does not have an elementary antiderivative, use integration by parts to evaluate the integral. The general formula for integration by parts is shown below. Suar-w- fvdu If 11x хе dx, detemine good choices for u and dv. 11x would not simplify the Since the derivative of an exponential function is an exponential function, the choice u= e integration. Let u=x and dv = e 11x dx. Ifu=x, then du = 1 dx. If dv = e 11x dx, determine v. Please explain v = 11х dx in detail how to get from A to B to C 11 e 11x dx %3D %3D 11x Now, calculate uv. Substitute and multiply. uv = 11x xe 11 Next, calcutate v du, Substitute and multiply. v du = dx 11x dx %3D Substitute the expressions in the formula and integrate.
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