First Fundamental Theorem of Calculus

Trending Questions

Q. ${\int }_{\frac{\sqrt{2}}{3}}^{\frac{\sqrt{3}}{3}}\frac{dx}{\sqrt{4-9x^2}}dxis$

1. $\frac{\pi }{6}$
2. $\frac{\pi }{12}$
3. $\frac{\pi }{24}$
4. $\frac{\pi }{36}$

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Q. ${\int }_0^{\pi }\frac{dx}{1+sinx}=$

1. $0$
2. $2$
3. $\frac{1}{2}$
4. $\frac{3}{2}$

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Q. ${\int }_0^{\frac{\pi }{6}}(2+3x^2)cos3xdx=$

1. $\frac{1}{36}({\pi }^2+16)$
2. $\frac{1}{36}(\pi +16)$
3. $\frac{1}{36}(\pi -16)$
4. $\frac{1}{36}({\pi }^2-16)$

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Q. ${\int }_1^e\frac{e^x}{x}(1+xlogx)dx=$

1. $e^e+e$
2. $e^e-e$
3. $Noneofthese$
4. $e^e$

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Q. ${\int }_0^{\frac{\pi }{8}}\frac{se{c}^{2}2x}{2}dx=$

1. $\frac{1}{4}$
2. $\frac{1}{3}$
3. $\frac{1}{2}$
4. $Noneofthese$

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Q. The value of ${\int }_{-2}^2(a{x}^3+bx+c)$ depends on

1. The value of a
2. The value of c
3. The value of a and b
4. The value of b

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Q. The value of ${\int }_0^{\frac{\pi }{2}}\frac{(sinx+cosx{)}^2}{\sqrt{1+sin2x}}dxis$

1. 0
2. 3
3. 2
4. 1

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Q. ${\int }_0^{2\pi }\sqrt{1+sin\frac{x}{2}}dx=$

1. 0
2. 2
3. 8
4. 4

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Q. ${\int }_0^{\frac{\pi }{2}}\frac{cosx}{1+cosx+sinx}dx=$

1. $\frac{\pi }{4}+\frac{1}{2}log2$
2. $\frac{\pi }{4}-\frac{1}{2}log2$
3. $\frac{\pi }{4}+log2$
4. $\frac{\pi }{4}-log2$

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Q. ${\int }_0^{1}co{s}^{-1}xdx=$

1. 0
2. 1
3. 2
4. None of these

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