List of top Mathematics Questions on Integrals of Some Particular Functions asked in MHT CET

\(\int \frac{1}{\sqrt{2x-x^2}}dx =\)

If \(a > 0,b > 0\) and \(\int \frac{1}{ax^2+b}dx = \frac{1}{\sqrt{6}}tan^{-1}(\frac{\sqrt{2}x}{\sqrt{3}})+c\), then \(\int \frac{1}{bx^2+a}dx = \ldots\)

\(\int cot^4x\,dx\) is equal to

\(\int e^{2x}\frac{2(sin2xcos2x-1)}{2sin^22x}\,dx = A\,e^{2x}cot2x+c\)
(Where c is the constant of integration.), then \(A^3 =\)

The value of \(\int \frac{1}{x^2-5x+8}dx\) is equal to...

If \(\int \frac{dx}{\sqrt{2ax-x^2}} = f(g(x))+c\), where \(c\) is constant of integration, then \(f(x),g(x)\) are respectively equal to

Evaluate the integral: $\int \frac{10^{x/2}}{\sqrt{10^{-x} - 10^x}} dx$