Question:
The value of \(\int e^x(\sin x+\cos x)\,dx\) is:
The value of \(\int e^x(\sin x+\cos x)\,dx\) is:
Show Hint
Check by differentiation when in doubt.
Updated On: Jan 5, 2026
- \(e^x\sin x + C\)
- \(e^x\cos x + C\)
- \(e^x\sin x-e^x\cos x + C\)
- \(e^x(\sin x+\cos x)+C\)
Hide Solution
Verified By Collegedunia
The Correct Option is A
Solution and Explanation
Differentiate \(e^x\sin x\) to verify.
Was this answer helpful?
0
0
Top Questions on Integration
- What is the value of \(\int \frac{1}{x^2 + 1} \, dx\)?
- BITSAT - 2025
- Mathematics
- Integration
- The area bounded by the curve \(y = x^2\), the x-axis and the lines \(x = 1\) and \(x = 2\) is:
- VITEEE - 2025
- Mathematics
- Integration
- The value of \(\displaystyle \int_{-\infty}^{\infty} e^{-x^2}\,dx\) is:
- VITEEE - 2025
- Mathematics
- Integration
- The value of \( \int_0^{\pi/2} \sin^2 x \, dx \) is:
- VITEEE - 2025
- Mathematics
- Integration
- The value of \( \int x^x(1 + \log x) \, dx \) is equal to ...........
View More Questions
Questions Asked in VITEEE exam
- Find the value of \( x \) in the following equation: \[ \frac{2}{x} + \frac{3}{x + 1} = 1 \]
- VITEEE - 2025
- Algebra
- How many numbers between 0 and 9 look the same when observed in a mirror?
- VITEEE - 2025
- Odd one Out
- In a code language, 'TIGER' is written as 'JUISF'. How will 'EQUAL' be written in that language?
- VITEEE - 2025
- Odd one Out
- In a code language, 'TIGER' is written as 'JUISF'. How will 'EQUAL' be written in that language?
- VITEEE - 2025
- Data Interpretation
- TUV : VYB :: PRA : ?
- VITEEE - 2025
- Odd one Out
View More Questions