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.
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
Section: Chapter Questions
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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