Some Properties of Definite Integrals is an important topic in the Mathematics section in VITEEE exam. Practising this topic will increase your score overall and make your conceptual grip on VITEEE exam stronger.
This article gives you a full set of VITEEE PYQs for Some Properties of Definite Integrals with explanations for effective preparation. Practice of VITEEE Mathematics PYQs including Some Properties of Definite Integrals questions regularly will improve accuracy, speed, and confidence in the VITEEE 2026 exam.
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VITEEE PYQs for Some Properties of Definite Integrals with Solutions
1.
If the solution of \[ \left( 1 + 2e^\frac{x}{y} \right) dx + 2e^\frac{x}{y} \left( 1 - \frac{x}{y} \right) dy = 0 \] is \[ x + \lambda y e^\frac{x}{y} = c \quad \text{(where \(c\) is an arbitrary constant), then \( \lambda \) is:} \]- 1
- 2
- 3
- None of these
2.
The value of the integral $\int\limits_{0}^{\frac{\pi}{2}} log \left(tan\,x\right)dx=$- 0
- 1
- $\frac{\pi}{2}$
- $\frac{\pi}{4}$
3.
The value of the integral $\int\limits ^{1/2}_{-1/2}\left[\left(\frac{x+1}{x-1}\right)^{^2}+\left(\frac{x+1}{x-1}\right)^{^2}-2\right]^{^{1/2}}\:\:dx$ is- $\log\left(\frac{4}{3}\right)$
- $4\,\log\left(\frac{3}{4}\right)$
- $4\,\log\left(\frac{4}{3}\right)$
- $\log\left(\frac{3}{4}\right)$
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