Integration Techniques and U Substitution

To evaluate a definite integral

To solve a differential equation

To find the derivative of a function

To find the integral of X divided by the square root of X to the fourth plus 16

In a chemistry textbook

In a physics textbook

In the back of a calculus textbook under integration tables

In the front of a calculus textbook

The formula is not applicable to any function

There is an extra factor of X in the numerator

The formula requires a definite integral

The formula is only for polynomials

V substitution

W substitution

U substitution

T substitution

16

X squared

X to the fourth

X cubed

2

16

8

4

By multiplying the numerator by a constant

By expressing X to the fourth as X squared squared and 16 as four squared

By using a different variable

By changing the limits of integration

1/2 XDX

2XDX

4XDX

XDX

1/2 times the natural log of the absolute value of U plus the square root of U squared plus A squared

The derivative of U squared plus A squared

The square root of U squared plus A squared

The integral of U squared minus A squared

A factor of X

A constant of differentiation

A variable of integration

A constant of integration