Definite Integration · Mathematics · NDA

What is $\int^{1}_{-1}(3\sin x-\sin 3x)\cos^2 xdx$ equal to?

Let $p=\int_a^b f(x) d x$ and $q=\int_a^b|f(x)| d x$. If $f(x)=e^{-x}$, then which one of the following is correct ?

What is $\int^{\pi/2}_0 \frac{a+\sin x}{2a+\sin x+\cos x} dx$ equal to?

What is $\int\limits_{-1}^{0} h(x) dx$ equal to?

What is $\int_{0}^{2} h(x) dx$ equal to?

What is $8\int_1^2 f(x)dx$ equal to?

What is $\displaystyle \int_0^\pi\left(\sin ^4 x+\cos ^4 x\right) d x$ equal to?

What is I equal to?

What is $\displaystyle \rm \int_0^{8 \pi}|\sin x| d x$ equal to?

‘What is the value of Q ? 

What is the value of R ? 

What is the value of $\frac{I_1+I_2}{I_1-I_2} $ ?

What is the value of $8 I_1^2$

What is the value of I2 ?

What is l equal to when a < 0 < b ? 

What is l equal to when a < b < 0 ? 

What is $\displaystyle\int_0^1 \ln \left(\frac{1}{x}−1\right)$dx equal to ?

If $\displaystyle\int_0^{\pi/2}$(sin4 x + cos4 x)dx = k, then what is the value of $\displaystyle\int_0^{20 \pi}$(sin4 x + co...

What is $\displaystyle\int_{−\pi/2}^{\pi/2}$(ecos x sin x + esin x cos x)dx equal to ?...

What is $\int\limits^{\frac{\pi}{4}}_0 \frac{dx}{(\sin x + \cos x)^2}$ equal to?

What is $\int\limits^{-1}_{-2}\frac{x}{|x|}dx$ equal to?