   Chapter 7.8, Problem 1CP ### Calculus: An Applied Approach (Min...

10th Edition
Ron Larson
ISBN: 9781305860919

#### Solutions

Chapter
Section ### Calculus: An Applied Approach (Min...

10th Edition
Ron Larson
ISBN: 9781305860919
Textbook Problem
1 views

# Find each partial integral.a. ∫ 1 x ( 4 x y + y 3 ) d y b. ∫ y y 2 1 x + y d x

(a)

To determine

To calculate: The partial integral of 1x(4xy+y3)dy.

Explanation

Given information:

The provided integral is, 1x(4xy+y3)dy.

Formula used:

The power of x formula of integration is xndx=xn+1n+1+C, where n1.

Calculation:

Consider the integral,

1x(4xy+y3)dy

As it is clear, the integration is with respect to y, so x is treated as constant.

Therefore,

1x(4xy+y3)dy=[4xy2

(b)

To determine

To calculate: The partial integral of yy21x+ydx.

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