Question 1:
If \(f(2a-x)=f(x)\), then \(\int_{0}^{2a}f(x)dx\) is
Question 2:
The value of \(\int_{0}^{1}\frac{dx}{e^{x}+e^{-x}}\) is:
Question 3:
\(\int_{0}^{\pi/2}\cos x\cdot e^{\sin x}dx\) is equal to:
Question 4:
\(\int_{a}^{b}f(x)dx\) is equal to:
Question 5:
\(\int_{0}^{\pi/2}\frac{\sin~x-\cos~x}{1+\sin~x~\cos~x}dx\) is equal to:
Question 6:
\(\int_{-a}^{a}f(x)dx=0,\) if :
Question 7:
The value of \(\int_{0}^{3}\frac{dx}{\sqrt{9-x^{2}}}\) is:
Question 8:
The value of \(\int_{-1}^{1}x|x|dx\) is:
Question 9:
Evaluate: \(\int_{0}^{\frac{\pi}{4}}\sqrt{1+\sin 2x}dx\)
Question 10:
Evaluate: \(\int_{0}^{\pi/2}\sin~2x~\cos~3x~dx\)
Question 11:
Evaluate: \(\int_{0}^{\frac{\pi^{2}}{4}}\frac{\sin\sqrt{x}}{\sqrt{x}}dx\).
Question 12:
Evaluate: \(\int_{\pi/2}^{\pi}e^{x}(\frac{1-\sin x}{1-\cos x})dx\)
Question 13:
Evaluate: \(\int_{1}^{4}(|x-2|+|x-4|)dx\)
Question 14:
Evaluate : \(\int_{0}^{\pi}\frac{e^{cos~x}}{e^{cos~x}+e^{-cos~x}}d~x\)
Question 15:
Evaluate : \(\int_{-2}^{2}\sqrt{\frac{2-x}{2+x}}dx\)
Question 16:
Evaluate \(\int_{0}^{\frac{\pi}{4}}\frac{x~dx}{1+cos~2x+sin~2x}\)
Question 17:
Evaluate: \(\int_{0}^{\pi/4}\frac{1}{sin~x+cos~x}dx\)
Question 18:
Evaluate: \(\int_{1}^{3}(|x-1|+|x-2|+|x-3|)dx\).
Question 19:
Evaluate: \(\int_{0}^{\pi}\frac{dx}{a^{2}\cos^{2}x+b^{2}\sin^{2}x}\)
Question 20:
Evaluate: \(\int_{0}^{\pi/2}\frac{x}{\sin x+\cos x}dx\)
Question 21:
Evaluate: \(\int_{0}^{\frac{\pi}{4}}\frac{\sin x+\cos x}{9+16\sin 2x}dx\).
Question 22:
Evaluate: \(\int_{0}^{\frac{\pi}{2}}\sin 2x\tan^{-1}(\sin x)dx\).