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विषय
मुख्य विषय
अध्याय
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Mathematics
Evaluate the integral by using substitution.
`int_(-1)^1 dx/(x^2 + 2x + 5)`
Chapter: [7] Integrals
Concept: undefined >> undefined
Concept: undefined >> undefined
Evaluate the integral by using substitution.
`int_1^2 (1/x- 1/(2x^2))e^(2x) dx`
Chapter: [7] Integrals
Concept: undefined >> undefined
Concept: undefined >> undefined
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The value of the integral `int_(1/3)^4 ((x- x^3)^(1/3))/x^4` dx is ______.
Chapter: [7] Integrals
Concept: undefined >> undefined
Concept: undefined >> undefined
If `f(x) = int_0^pi t sin t dt`, then f' (x) is ______.
Chapter: [7] Integrals
Concept: undefined >> undefined
Concept: undefined >> undefined
Evaluate `int_0^(pi/4) (sinx + cosx)/(16 + 9sin2x) dx`
Chapter: [7] Integrals
Concept: undefined >> undefined
Concept: undefined >> undefined
Evaluate of the following integral:
(i) \[\int x^4 dx\]
Chapter: [7] Integrals
Concept: undefined >> undefined
Concept: undefined >> undefined
Evaluate of the following integral:
\[\int x^\frac{5}{4} dx\]
Chapter: [7] Integrals
Concept: undefined >> undefined
Concept: undefined >> undefined
Evaluate of the following integral:
\[\int\frac{1}{x^5}dx\]
Chapter: [7] Integrals
Concept: undefined >> undefined
Concept: undefined >> undefined
Evaluate of the following integral:
\[\int\frac{1}{x^{3/2}}dx\]
Chapter: [7] Integrals
Concept: undefined >> undefined
Concept: undefined >> undefined
Evaluate of the following integral:
\[\int 3^x dx\]
Chapter: [7] Integrals
Concept: undefined >> undefined
Concept: undefined >> undefined
Evaluate of the following integral:
\[\int\frac{1}{\sqrt[3]{x^2}}dx\]
Chapter: [7] Integrals
Concept: undefined >> undefined
Concept: undefined >> undefined
Evaluate of the following integral:
\[\int 3^{2 \log_3} {}^x dx\]
Chapter: [7] Integrals
Concept: undefined >> undefined
Concept: undefined >> undefined
Evaluate of the following integral:
\[\int \log_x \text{x dx}\]
Chapter: [7] Integrals
Concept: undefined >> undefined
Concept: undefined >> undefined
Evaluate:
\[\int\sqrt{\frac{1 + \cos 2x}{2}}dx\]
Chapter: [7] Integrals
Concept: undefined >> undefined
Concept: undefined >> undefined
Evaluate:
\[\int\sqrt{\frac{1 - \cos 2x}{2}}dx\]
Chapter: [7] Integrals
Concept: undefined >> undefined
Concept: undefined >> undefined
Evaluate :
\[\int\frac{e^{6 \log_e x} - e^{5 \log_e x}}{e^{4 \log_e x} - e^{3 \log_e x}}dx\]
Chapter: [7] Integrals
Concept: undefined >> undefined
Concept: undefined >> undefined
Evaluate:
\[\int\frac{1}{a^x b^x}dx\]
Chapter: [7] Integrals
Concept: undefined >> undefined
Concept: undefined >> undefined
Evaluate:
\[\int\frac{\cos 2x + 2 \sin^2 x}{\sin^2 x}dx\]
Chapter: [7] Integrals
Concept: undefined >> undefined
Concept: undefined >> undefined
Evaluate:
\[\int\frac{2 \cos^2 x - \cos 2x}{\cos^2 x}dx\]
Chapter: [7] Integrals
Concept: undefined >> undefined
Concept: undefined >> undefined
Evaluate:
\[\int\frac{e\log \sqrt{x}}{x}dx\]
Chapter: [7] Integrals
Concept: undefined >> undefined
Concept: undefined >> undefined
