Evaluating a Double
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Multivariable Calculus
- Integration by Substitution.arrow_forwardsinx cosx - e +e sinx +* The integral dx may be written as me nsinx +px+ qe™ + C, sinx where m, n, p, q, r, and C are constants not equal to zero. Evaluate m+n+p+q +r.arrow_forwardChanging order of integration Write the integral ∫20 ∫10 ∫1-y0 dz dy dx in the five other possible orders of integration.arrow_forward
- Integral Calculus: Integration by partsarrow_forwardCalculus 2 HW Please calculate the improper integral and explain it.arrow_forwardFinding the work done in moving an object. Work Done by a Variable Force Along a Line. If a variable force F(x) moves an object in a positive direction along the r-axis from z = a to z = b, then the work done on the object is = [ F(=) dz W = Part 1. Setup the integral that will give the work done by a constant force, F = 12 lb, in moving a chair (along a line) a distance of 7 feet. W = Note: Assume that initial position of the chair is at z = 0. Part 2. Calculate the done by the force described above. w = foot-pounds. Note: enter your answer as an exact value without using decimals.arrow_forward
- Using Trigonometric Substitution Exercises 7-10, find the indefinite integral using the substitution x = 5 sec e. In %3D - 25 dx 1 7. dx ² – 25 8.arrow_forwardINTEGRAL CALCULUS: INTEGRATIONarrow_forwardFinding an Indefinite Integral In Exercises 9–30, find the indefinite integral and check the result by differentiation. x(5x2 + 4)° dx 15. 16. x? ;dx (1 + x³)? 6x? 23. 24. dx (4x3 – 9)3 -arrow_forward
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