List of top Mathematics Questions asked in CBSE CLASS XII

Evaluate the definite integral as limit of sums: \(∫^1_{-1} e^xdx\)
Evaluate the definite integral as limit of sums: \(∫^4_1(x^2-x)dx\)
Evaluate the definite integral as limit of sums: \(∫^5_0(x+1)dx\)
Evaluate the definite integral as limit of sums: \(∫^b_a xdx\)

Let A=N×N and * be the binary operation on A defined by (a, b)*(c, d)=(a+c,b+d) Show that * is commutative and associative. Find the identity element for * on A, if any.

Integrate the function: \(\sqrt{1+\frac{x^2}{9}}\)
Integrate the function: \(\sqrt{x^2+3x}\)
Integrate the function: \(\sqrt{1+3x-x^2}\)
Integrate the function: \(\sqrt{x^2+4x-5}\)
Integrate the function: \(\sqrt{1-4x-x^2}\)
Integrate the function: \(\sqrt{x^2+4x+1}\)
Integrate the function: \(\sqrt{x^2+4x+6}\)
Integrate the function: \(\sqrt {1-4x^2}\)
Integrate the function: \(\sqrt{4-x^2}\)
Integrate the function: \(sin^{-1}(\frac{2x}{1+x^2})\)
Integrate the function: \(\frac{(x-3)e^x}{(x-1)^3}\)
Integrate the function: \(e^x(\frac{1}{x}-\frac{1}{x^2})\)
Integrate the function: \(e^x(\frac{1+sinx}{1+cosx})\)
Integrate the function: \(\frac{xe^x}{(1+x)^2}\)
Integrate the function: \(e^x(sinx+cosx)\)
Integrate the function: \((x^2+1)logx\)
Integrate the function: \(x(logx)^2\)
Integrate the function: \(xsec^2x\)
Integrate the function: \(\frac{xcos^{-1}x}{\sqrt{1-x^2}}\)
Integrate the function: \((sin^{-1}x)^2\)