Evaluate the integral using the indicated trigonometric substitution. (Use C for the constant of integration.) The integral of x^3/square root of (16+x^2)dx, x = 4 tan(?) Sketch and label the associated right triangle.

Evaluate the integral using the indicated trigonometric substitution. (Use C for the constant of integration.) The integral of x^3/square root of (16+x^2)dx, x = 4 tan(?) Sketch and label the associated right triangle.

Calculus For The Life Sciences

2nd Edition

ISBN:9780321964038

Author:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.

Publisher:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.

Chapter8: Further Techniques And Applications Of Integration

Section8.2: Integration By Parts

Problem 36E

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Evaluate the integral using the indicated trigonometric substitution. (Use C for the constant of integration.)

The integral of x^3/square root of (16+x^2)dx, x = 4 tan(?)

Sketch and label the associated right triangle.

With differentiation, one of the major concepts of calculus. Integration involves the calculation of an integral, which is useful to find many quantities such as areas, volumes, and displacement.

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