List of top Mathematics Questions asked in CBSE CLASS XII

Integrate the function: \(\frac {e^x}{(1+e^x)(2+e^x)}\)

Integrate the function: \(\frac {x^3}{\sqrt {1-x^8}}\)

Integrate the function: \(\frac {1}{cos(x+a)cos(x+b)}\)

Integrate the function: \(\frac{cos\,x}{\sqrt{4-sin^2x}}\)

Integrate the function: \(\frac{e^{5log\,x-e^{4\,logx}}}{e^{3\,logx}-e^{2\,logx}}\)

Integrate the function: \(\frac{sin\,x}{sin(x-a)}\)

Integrate the function: \(\frac{5x}{(x+1)(x^2+9)}\)

Integrate the function: \(\frac{1}{x^{\frac{1}{2}}+x^{\frac{1}{3}}}\) [Hint:\(\frac{1}{x^{\frac{1}{2}}+x^{\frac{1}{3}}}\)=\(\frac{1}{x^{\frac{1}{3}(1+x^{\frac{1}{6}})}}\)Put x=t⁶]

Integrate the function: \(\frac{1}{x^2(x^4+1)^{\frac{3}{4}}}\)

Integrate the function: \(\frac{1}{x\sqrt{ax-x^2}}\)

Integrate the function: \(\frac{1}{\sqrt{x+a}+\sqrt{x+b}}\)

Integrate the function: \(\frac{1}{x-x^3}\)

By using the properties of definite integrals, evaluate the integral: \(\int_{o}^{a} \frac{\sqrt{x}}{\sqrt x+\sqrt{a-x} }dx\)

By using the properties of definite integrals, evaluate the integral: \(∫^\frac{π}{2}_0\frac{sinx-cosx}{1+sinx\,cosx\,}dx\)

By using the properties of definite integrals, evaluate the integral: \(∫^{2π}_0 cos^5 xdx\)

The value of e integral \(∫^1_\frac{1}{3}\frac{(x-x^3)}{x^4}^\frac{1}{3} dx\)  is.

By using the properties of definite integrals, evaluate the integral: \(∫_0^π\frac{xdx}{1+sinx}\)

By using the properties of definite integrals, evaluate the integral: \(∫^\frac{π}{2}_\frac{-π}{2}sin^2xdx\)

By using the properties of definite integrals, evaluate the integral: \(∫^\frac{π}{2}_0(2logsinx-logsin2x)dx\)

By using the properties of definite integrals, evaluate the integral: \(∫^2_0 x\sqrt{2-x}dx\)

By using the properties of definite integrals, evaluate the integral: \(∫_0^{\frac \pi4} log(1+tanx)dx\)

By using the properties of definite integrals, evaluate the integral: \(\int^1_0x(1-x)^n\,dx\)

By using the properties of definite integrals, evaluate the integral: \(\int_{2}^{8} |x-5| \,dx\)

By using the properties of definite integrals, evaluate the integral: \(\int_{-5}^{5} |x+2|\,dx\)

By using the properties of definite integrals, evaluate the integral: \(∫^{\frac{π}{2}}_0\frac{cos^5xdx}{sin^5x+cos^5x}\)