All Categories
Alerts
Wishlist
Cart
Sign In
Categories
Current Affairs & GK
Current Affairs
Show All Current Affairs & GK
General Aptitude
Arithmetic Aptitude
Data Interpretation
Show All General Aptitude
General Knowledge
Basic General Knowledge
General Science
Show All General Knowledge
Medical Science
Anatomy
Biochemical Engineering
Biochemistry
Biotechnology
Microbiology
Show All Medical Science
Technical
Database
Digital Electronics
Electronics
Networking
Show All Technical
Verbal and Reasoning
Logical Reasoning
Verbal Ability
Verbal Reasoning
Show All Verbal and Reasoning
›
Evaluate ∫(5x^4)dx. (2020)
Evaluate ∫(5x^4)dx. (2020)
Expand All
Collapse All
Practice Questions
1 question
Q1
Evaluate ∫(5x^4)dx. (2020)
(5/5)x^5 + C
(1/5)x^5 + C
(5/4)x^4 + C
(1/4)x^4 + C
Show Solution
Copy
The integral of 5x^4 is (5/5)x^5 + C = x^5 + C.
Questions & Step-by-step Solutions
1 item
Q
Q: Evaluate ∫(5x^4)dx. (2020)
Solution:
The integral of 5x^4 is (5/5)x^5 + C = x^5 + C.
Steps: 6
Show Steps
Step 1: Identify the function to integrate, which is 5x^4.
Step 2: Use the power rule for integration. The power rule states that ∫x^n dx = (1/(n+1))x^(n+1) + C, where n is the exponent.
Step 3: In this case, n is 4. So, we apply the power rule: ∫5x^4 dx = 5 * (1/(4+1))x^(4+1) + C.
Step 4: Calculate (4+1) which equals 5. Now we have: ∫5x^4 dx = 5 * (1/5)x^5 + C.
Step 5: The 5 in the numerator and the 5 in the denominator cancel out: ∫5x^4 dx = x^5 + C.
Step 6: Write the final answer: The integral of 5x^4 is x^5 + C.
Related Questions
F
Find the value of 5! (5 factorial). (2019)
Question: Find the value of 5! (5 factorial). (2019)Options: 12010015090Correct Answer: 120Solution:..
F
Find the integral of cos(x). (2023)
Question: Find the integral of cos(x). (2023)Options: sin(x) + C-sin(x) + Ccos(x) + C-cos(x) + CCorr..
W
What is the value of (3 + 5) × (2 - 1)? (2020)
Question: What is the value of (3 + 5) × (2 - 1)? (2020)Options: 816106Correct Answer: 8Solution: (3..
F
Find ∫ (6x^2 - 4) dx. (2019)
Question: Find ∫ (6x^2 - 4) dx. (2019)Options: 2x^3 - 4x + C2x^3 - 2x + C2x^3 - 4 + C3x^3 - 4x + CCo..
I
If a rectangle has a length of 8 cm and a width of 3 cm, what is its area? (2015
Question: If a rectangle has a length of 8 cm and a width of 3 cm, what is its area? (2015)Options: ..
‹
Biology (School & UG)
Chemistry (School & UG)
Civil Engineering
Commerce & Accountancy
Computer Science & IT
Current Affairs & GK
Data Structures & Algorithms
Electrical & Electronics Engineering
English (School)
General Aptitude
General Knowledge
General Knowledge & Current Affairs
Languages & Literature
Law & Legal Studies
Major Competitive Exams
Mathematics (School)
Mechanical Engineering
Medical Science
Physics (School & Undergraduate)
Quantitative Aptitude & Reasoning
Social Science (School)
Technical
Verbal and Reasoning
Vocational & Skill Development
›
Soulshift Feedback
×
On a scale of 0–10, how likely are you to recommend
The Soulshift Academy
?
0
1
2
3
4
5
6
7
8
9
10
Not likely
Very likely
✕
↑
