ANSWER
2 3
100𝑥 99 + 20𝑥 4 + 𝑥 2 + 𝑥 + 9𝑑𝑥
Use properties of integral
2 3
100𝑥 99 𝑑𝑥 + 20𝑥 4 𝑑𝑥 + 𝑥 2 𝑑𝑥 + 𝑥𝑑 𝑥 + 9𝑑𝑥
Evaluate the integral
2 3
𝑥 100 + 𝑥 2 𝑑𝑥 + 𝑥𝑑 𝑥 + 9𝑑𝑥
Evaluate the integral
2
𝑥 100 + 4𝑥 5 − + 3𝐼𝑛 ሺȁ𝑥ȁሻ + 9𝑑𝑥
𝑥
Evaluate the integral
2
𝑥 100 + 4𝑥 5 − 𝑥 + 3𝐼𝑛ȁ𝑥ȁ + 9𝑑𝑥
Calculate
2
𝑥 100 + 4𝑥 5 − 𝑥 + 9𝑥 + 3𝐼𝑛 ሺȁ𝑥ȁሻ
Add the constant of Integral C
2
𝑥 100 + 4𝑥 5 − + 9𝑥 + 3𝐼𝑛 ሺȁ𝑥ȁሻ + 𝑐
𝑥
Option A
2 3
100𝑥 99 + 20𝑥 4 + 𝑥 2 + 𝑥 + 9𝑑𝑥
Use properties of integral
2 3
100𝑥 99 𝑑𝑥 + 20𝑥 4 𝑑𝑥 + 𝑥 2 𝑑𝑥 + 𝑥𝑑 𝑥 + 9𝑑𝑥
Evaluate the integral
2 3
𝑥 100 + 𝑥 2 𝑑𝑥 + 𝑥𝑑 𝑥 + 9𝑑𝑥
Evaluate the integral
2
𝑥 100 + 4𝑥 5 − + 3𝐼𝑛 ሺȁ𝑥ȁሻ + 9𝑑𝑥
𝑥
Evaluate the integral
2
𝑥 100 + 4𝑥 5 − 𝑥 + 3𝐼𝑛ȁ𝑥ȁ + 9𝑑𝑥
Calculate
2
𝑥 100 + 4𝑥 5 − 𝑥 + 9𝑥 + 3𝐼𝑛 ሺȁ𝑥ȁሻ
Add the constant of Integral C
2
𝑥 100 + 4𝑥 5 − + 9𝑥 + 3𝐼𝑛 ሺȁ𝑥ȁሻ + 𝑐
𝑥
Option A
