List of top Mathematics Questions on Definite Integral asked in BITSAT

If \( f(x) = \int_0^x t(\sin x - \sin t)dt \) then :
The value of int₀^π/2frac√(sin x)√(sin x)+√(cos x)dx is
The value of the integral
\[ \int_a^b \frac{\sqrt{x} \, dx}{\sqrt{x} + \sqrt{a + b - x}} \]
is:
If
\[ \int_0^a f(2a - x) \, dx = m \quad \text{and} \quad \int_0^a f(x) \, dx = n, \]
then
\[ \int_0^{2a} f(x) \, dx \]
is equal to:
Value of \( \displaystyle \int_{0}^{\pi/2} \dfrac{\sqrt{\sin x}}{\sqrt{\sin x} + \sqrt{\cos x}} \, dx \) is:
\[ \int_{0}^{10}\frac{x^{10}}{(10-x)^{10}+x^{10}}\,dx \] is equal to
Evaluate \[ \int_0^{\frac{\pi}{2}} \frac{\sin x}{1 + \cos^2 x} \, dx \] is
Evaluate: \[ \int_0^{\pi/2} \frac{x}{\sqrt{4 - x^2}} \, dx \]
Find the value of ₀⁽⁴π⁾/⁽³⁾|sin x|dx.
Let I₁=₀²1√(1+x²)dx and I₂=₀²(1)/(x)dx, then:
If Im=₀¹ ( x)ᵐ dx, where mN, then I₁₀+10I₉ is equal to