List of top Questions asked in CBSE CLASS XII

Evaluate the definite integral: \(\int^{\frac{\pi}{6}}_{\frac{\pi}{3}}\frac{sinx+cosx}{\sqrt{sin2x}}dx\)
Evaluate the definite integral: \(\int_{0}^{\frac{\pi}{2}}\frac{cos^{2}xdx}{cos^{2}x+4sin^{2}x}\)
Evaluate the definite integral: \(\int_{0}^{\frac{\pi}{4}}(\frac{sinxcosx}{cos^{4}x+sin^{4}x})dx\)
Evaluate the definite integral: \(\int_{\pi}^{\frac{\pi}{2}}e^{x}(\frac{1-sinx}{1-cosx})dx\)
Integrate the function: \(\frac{\sqrt{x^{2}+1}[log(x^{2}+1)-2logx]}{x^{4}}\)
Integrate the function: \(tan^{-1}\sqrt{\frac{1-x}{1+x}}\)
Integrate the function: \(\frac{x^{2}+x+1}{(x+1)^{2}(x+2)}\)
Integrate the function: \(\frac{2+sin2x}{1+cos2x}e^{x}\)
Integrate the function: \(\sqrt{\frac{1-\sqrt{x}}{1+\sqrt{x}}}\)
Integrate the function: \(\frac{1}{\sqrt{sin^{3}xsin(x+α)}}\)
Integrate the function: \(ƒ'(ax+b)[ƒ(ax+b)]^n\)
Integrate the function: \(e^{3log\ x}(x^4+1)^{-1}\)
Integrate the function: \(cos^3 x\ e^{log\ sin\ x}\)
Integrate the function: \(\frac {1}{(x^2+1)(x^2+4)}\)
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: \(\frac{1}{\sqrt{x+a}+\sqrt{x+b}}\)