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List of top Mathematics Questions on integral asked in CBSE CLASS XII

Find the following integral: \(\int (ax^2+bx+c)dx\)
By using the properties of definite integrals, evaluate the integral: \(∫_0^π log(1+cosx)dx\)

 If \(\frac{d}{dx}f(x) = 4x^3-\frac{3}{x^4}\) such that \(f(2)=0\), then \(f(x)\) is

\(∫\frac{dx}{e^x+e^{-x}}\) is equal to
Evaluate the definite integral as limit of sums: \(∫^3_2 x^2dx\)
Integrate the function: \(\frac{sin^8x-cos^8x}{1-2sin^2xcos^2x}\)
\(∫e^x secx(1+tanx)dx\) equals

\(\int \frac{10x^9+10^x \log_e 10}{x^{10}+10^x}dx\) equals

The value of \(\int_{0}^{\frac{\pi}{2}}\) log(\(\frac{4+3\,sin\,x}{4+3\,cos\,x}\))dx is

\(∫\frac{dx}{x^2+2x+2}\) equals
Find the integrals of the function: \(sin\,3x\,cos\,4x\)
Find the integrals of the function: \(sin^3 (2x+1)\)

\(\int \sqrt{x^2-8x+7}dx\) is equal to

Integrate the function: \(e^{2x} sinx\)
Integrate the function: \(cot \ x .log\ sin\  x\)
Find the integrals of the function: \(cos^4 2x\)
Integrate the function: \(\frac{x+2}{\sqrt {x^2+2x+3}}\)
Find the following integral: \(\int (2x^2+e^x)dx\)
Find the integrals of the function: \(sin^4 x\)
Find the integrals of the function: \(\frac{cos x}{1+cos x}\)
Find the integrals of the function: \(\frac{1-cosx}{1+cosx}\)
Find the integrals of the function: \(sin\, 4x\,\, sin\, 8x\)
Find the integrals of the function: \(sin\, x\,\, sin\, 2x\,\, sin\, 3x\)
Find the integrals of the function: \(sin^3 x\, cos^3 x\)
Find the integrals of the function: \(cos\, 2x\, cos\, 4x\, cos\, 6x\)

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