Definite Integrals of Odd, Even and Periodic Function
Integral Calculus

86702 \(\int_{0}^{\pi / 2} \frac{2^{\sin x}}{2^{\sin x}+2^{\cos x}} d x\) equals

1 2
2 \(\pi\)
3 \(\pi / 4\)
4 \(\pi / 2\)
Integral Calculus

86703 \(\int_{0}^{10} \frac{x^{10}}{(10-x)^{10}+x^{10}} d x\) is equal to

1 10
2 5
3 2
4 \(\frac{1}{2}\)
Integral Calculus

86704 The value of the integral \(\int_{a}^{b} \frac{\sqrt{x} d x}{\sqrt{x}+\sqrt{a+b-x}}\) is :

1 \(\pi\)
2 \(\frac{1}{2}(b-a)\)
3 \(\pi / 2\)
4 \(b-a\)
Integral Calculus

86706 The value of the integral \(\int_{0}^{\frac{\pi}{2}} \log (\tan x) d x=\)

1 0
2 1
3 \(\frac{\pi}{2}\)
4 \(\frac{\pi}{4}\)
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Integral Calculus

86702 \(\int_{0}^{\pi / 2} \frac{2^{\sin x}}{2^{\sin x}+2^{\cos x}} d x\) equals

1 2
2 \(\pi\)
3 \(\pi / 4\)
4 \(\pi / 2\)
Integral Calculus

86703 \(\int_{0}^{10} \frac{x^{10}}{(10-x)^{10}+x^{10}} d x\) is equal to

1 10
2 5
3 2
4 \(\frac{1}{2}\)
Integral Calculus

86704 The value of the integral \(\int_{a}^{b} \frac{\sqrt{x} d x}{\sqrt{x}+\sqrt{a+b-x}}\) is :

1 \(\pi\)
2 \(\frac{1}{2}(b-a)\)
3 \(\pi / 2\)
4 \(b-a\)
Integral Calculus

86706 The value of the integral \(\int_{0}^{\frac{\pi}{2}} \log (\tan x) d x=\)

1 0
2 1
3 \(\frac{\pi}{2}\)
4 \(\frac{\pi}{4}\)
Integral Calculus

86702 \(\int_{0}^{\pi / 2} \frac{2^{\sin x}}{2^{\sin x}+2^{\cos x}} d x\) equals

1 2
2 \(\pi\)
3 \(\pi / 4\)
4 \(\pi / 2\)
Integral Calculus

86703 \(\int_{0}^{10} \frac{x^{10}}{(10-x)^{10}+x^{10}} d x\) is equal to

1 10
2 5
3 2
4 \(\frac{1}{2}\)
Integral Calculus

86704 The value of the integral \(\int_{a}^{b} \frac{\sqrt{x} d x}{\sqrt{x}+\sqrt{a+b-x}}\) is :

1 \(\pi\)
2 \(\frac{1}{2}(b-a)\)
3 \(\pi / 2\)
4 \(b-a\)
Integral Calculus

86706 The value of the integral \(\int_{0}^{\frac{\pi}{2}} \log (\tan x) d x=\)

1 0
2 1
3 \(\frac{\pi}{2}\)
4 \(\frac{\pi}{4}\)
Integral Calculus

86702 \(\int_{0}^{\pi / 2} \frac{2^{\sin x}}{2^{\sin x}+2^{\cos x}} d x\) equals

1 2
2 \(\pi\)
3 \(\pi / 4\)
4 \(\pi / 2\)
Integral Calculus

86703 \(\int_{0}^{10} \frac{x^{10}}{(10-x)^{10}+x^{10}} d x\) is equal to

1 10
2 5
3 2
4 \(\frac{1}{2}\)
Integral Calculus

86704 The value of the integral \(\int_{a}^{b} \frac{\sqrt{x} d x}{\sqrt{x}+\sqrt{a+b-x}}\) is :

1 \(\pi\)
2 \(\frac{1}{2}(b-a)\)
3 \(\pi / 2\)
4 \(b-a\)
Integral Calculus

86706 The value of the integral \(\int_{0}^{\frac{\pi}{2}} \log (\tan x) d x=\)

1 0
2 1
3 \(\frac{\pi}{2}\)
4 \(\frac{\pi}{4}\)