List of top Mathematics Questions on Integration by Partial Fractions asked in MHT CET

Evaluate the integral: \[ \int \frac{2x}{x^2 - 5x + 4}\, dx \]

Evaluate the integral: \[ \int \frac{x+1}{x(1+xe^x)^2}\,dx \]

If \(z = x + iy\) is a complex number, then the equation \(\left| \frac{z+i}{z-i} \right| = \sqrt{3}\) represents the

Find the value of the integral: ∫ (2x + 3)/((xy)(x^2 + 1)) dx

If ∫ (2x + 3)/((x - 1)(x^2 + 1)) dx = log_x {(x - 1)^(5/2)(x^2 + 1)^a} - (1/2) tan^(-1)x + C, then the value of a is:

If $\int \frac{dx}{32 - 2x^2} = A \log|4 - x| + B \log|4 + x| + c$, then the values of $A$ and $B$ are respectively

Evaluate the definite integral: $$\int_{5}^{10} \frac{dx}{(x-1)(x-2)}$$

$\int \frac{2 x^2-1}{x^4-x^2-20} d x=$