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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

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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)(15⁢𝑎0⁢𝑏2⁢𝑐34)⁢(3⁢𝑎16⁢𝑏-29⁢𝑐0) for all values of a, b, and c where the expression is defined? A. 18b5818𝑏58 B. 45b5845𝑏58 C. 18a16c34b2718⁢𝑎16⁢𝑐34𝑏27 D. 45a16c34b27

ข้อความใดถูกต้อง       รหัสข้อสอบ : 53508802058274116298 | int35397 | 03/06/2567  1.ยูเรียเมื่อละลายน้ำจะดูดความร้อน          2.แคลเซียมคลอไรด์ละลายน้ำจะคายความร้อน          3.โซเดียมคลอไรด์เป็นสารที่มีสมบัติดูดซับความชื้น          4.ข้อ (1) (2) และ (3)

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