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Mathematics
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\[\int\frac{1}{x^3}\text{ sin } \left( \text{ log x }\right) dx\]
Chapter: [7] Integrals
Concept: undefined >> undefined
Concept: undefined >> undefined
\[\int x^2 e^{x^3} \cos x^3 dx\]
Chapter: [7] Integrals
Concept: undefined >> undefined
Concept: undefined >> undefined
\[\int\frac{1}{\left( x^2 - 1 \right) \sqrt{x^2 + 1}} \text{ dx }\]
Chapter: [7] Integrals
Concept: undefined >> undefined
Concept: undefined >> undefined
Integration of \[\frac{1}{1 + \left( \log_e x \right)^2}\] with respect to loge x is
Chapter: [7] Integrals
Concept: undefined >> undefined
Concept: undefined >> undefined
\[\int \left| x \right|^3 dx\] is equal to
Chapter: [7] Integrals
Concept: undefined >> undefined
Concept: undefined >> undefined
\[\int\frac{8x + 13}{\sqrt{4x + 7}} \text{ dx }\]
Chapter: [7] Integrals
Concept: undefined >> undefined
Concept: undefined >> undefined
\[\int\frac{1 + x + x^2}{x^2 \left( 1 + x \right)} \text{ dx}\]
Chapter: [7] Integrals
Concept: undefined >> undefined
Concept: undefined >> undefined
If x=a sin 2t(1+cos 2t) and y=b cos 2t(1−cos 2t), find `dy/dx `
Chapter: [5] Continuity and Differentiability
Concept: undefined >> undefined
Concept: undefined >> undefined
If x=α sin 2t (1 + cos 2t) and y=β cos 2t (1−cos 2t), show that `dy/dx=β/αtan t`
Chapter: [5] Continuity and Differentiability
Concept: undefined >> undefined
Concept: undefined >> undefined
If x = a sin 2t (1 + cos2t) and y = b cos 2t (1 – cos 2t), find the values of `dy/dx `at t = `pi/4`
Chapter: [5] Continuity and Differentiability
Concept: undefined >> undefined
Concept: undefined >> undefined
Find the value of `dy/dx " at " theta =pi/4 if x=ae^theta (sintheta-costheta) and y=ae^theta(sintheta+cos theta)`
Chapter: [5] Continuity and Differentiability
Concept: undefined >> undefined
Concept: undefined >> undefined
If x = cos t (3 – 2 cos2 t) and y = sin t (3 – 2 sin2 t), find the value of dx/dy at t =4/π.
Chapter: [5] Continuity and Differentiability
Concept: undefined >> undefined
Concept: undefined >> undefined
\[\int\limits_4^9 \frac{1}{\sqrt{x}} dx\]
Chapter: [7] Integrals
Concept: undefined >> undefined
Concept: undefined >> undefined
\[\int\limits_{- 2}^3 \frac{1}{x + 7} dx\]
Chapter: [7] Integrals
Concept: undefined >> undefined
Concept: undefined >> undefined
\[\int\limits_0^{1/2} \frac{1}{\sqrt{1 - x^2}} dx\]
Chapter: [7] Integrals
Concept: undefined >> undefined
Concept: undefined >> undefined
