Juan Hewlett

2022-01-03

Evaluate the indefinite integral.

$\int {(4x+5)}^{9}dx$

temnimam2

Beginner2022-01-04Added 36 answers

Step 1

To Determine: evaluate the indefinite integral.

Given: we have$\int {(4x+5)}^{9}dx$

Explanation: we have$\int {(4x+5)}^{9}dx$

let us consider$u=4x+5\Rightarrow du=4dx$

then the integral becomes

$\int {(4x+5)}^{9}dx$

$=\frac{1}{4}\int {u}^{9}du$

$=\frac{1}{4}\frac{{u}^{10}}{10}$

Step 2

now putting the value of u then we have

$\int {(4x+5)}^{9}dx=\frac{1}{4}\frac{{(4x+5)}^{10}}{10}$

$=\frac{{(4x+5)}^{10}}{40}+c$

To Determine: evaluate the indefinite integral.

Given: we have

Explanation: we have

let us consider

then the integral becomes

Step 2

now putting the value of u then we have

Nadine Salcido

Beginner2022-01-05Added 34 answers

Given:

$\int {(4x+5)}^{9}dx$

$=\frac{1}{4}\int {u}^{9}du$

Now we calculate:

$\int {u}^{9}du$

$=\frac{{u}^{10}}{10}$

We substitute the already calculated integrals:

$\frac{1}{4}\int {u}^{9}du$

$=\frac{{u}^{10}}{40}$

$=\frac{{(4x+5)}^{10}}{40}$

Answer:

$=\frac{{(4x+5)}^{10}}{40}+C$

Now we calculate:

We substitute the already calculated integrals:

Answer:

karton

Expert2022-01-11Added 613 answers

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