Evaluate∫20x2dx∫20𝑥2𝑑𝑥Select one:A.203x3+C203𝑥3+𝐶B.10x3+C10𝑥3+𝐶C.−152x3+C−152𝑥3+𝐶D.−203x3+C
Question
Evaluate∫20x2dx∫20𝑥2𝑑𝑥Select one:A.203x3+C203𝑥3+𝐶B.10x3+C10𝑥3+𝐶C.−152x3+C−152𝑥3+𝐶D.−203x3+C
Solution
The integral of a function in the form of ∫x^n dx is (x^(n+1))/(n+1) + C, where C is the constant of integration.
In this case, the function to be integrated is 20x^2.
So, applying the formula, we get:
= (20x^(2+1))/(2+1) + C = (20x^3)/3 + C = 20/3 * x^3 + C
So, none of the options A, B, C, D is correct. The correct answer should be 20/3 * x^3 + C.
Similar Questions
Evaluate∫20x2dx∫20𝑥2𝑑𝑥Select one:A.203x3+C203𝑥3+𝐶B.10x3+C10𝑥3+𝐶C.−152x3+C−152𝑥3+𝐶D.−203x3+C
Evaluate∫−2x2dx∫−2𝑥2𝑑𝑥Select one:A.x33+C𝑥33+𝐶B.−2x33+C−2𝑥33+𝐶C.2x3+C2𝑥3+𝐶D.6x3+C
Differentiate5x−1−15x5𝑥−1−15𝑥Select one:A.5x−2−155𝑥−2−15B.−5x−2−15x−5𝑥−2−15𝑥C.−5x−2−15−5𝑥−2−15D.−5x2−15
Which expression is equivalent to (15a0b2c34)(3a16b−29c0)(15𝑎0𝑏2𝑐34)(3𝑎16𝑏-29𝑐0) for all values of a, b, and c where the expression is defined? A. 18b5818𝑏58 B. 45b5845𝑏58 C. 18a16c34b2718𝑎16𝑐34𝑏27 D. 45a16c34b27
ข้อความใดถูกต้อง รหัสข้อสอบ : 53508802058274116298 | int35397 | 03/06/2567 1.ยูเรียเมื่อละลายน้ำจะดูดความร้อน 2.แคลเซียมคลอไรด์ละลายน้ำจะคายความร้อน 3.โซเดียมคลอไรด์เป็นสารที่มีสมบัติดูดซับความชื้น 4.ข้อ (1) (2) และ (3)
Upgrade your grade with Knowee
Get personalized homework help. Review tough concepts in more detail, or go deeper into your topic by exploring other relevant questions.