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Mathematics
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
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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
\[\int\limits_0^1 \frac{1}{1 + x^2} dx\]
Chapter: [7] Integrals
Concept: undefined >> undefined
Concept: undefined >> undefined
\[\int\limits_2^3 \frac{x}{x^2 + 1} dx\]
Chapter: [7] Integrals
Concept: undefined >> undefined
Concept: undefined >> undefined
\[\int\limits_0^\infty \frac{1}{a^2 + b^2 x^2} dx\]
Chapter: [7] Integrals
Concept: undefined >> undefined
Concept: undefined >> undefined
\[\int\limits_{- 1}^1 \frac{1}{1 + x^2} dx\]
Chapter: [7] Integrals
Concept: undefined >> undefined
Concept: undefined >> undefined
\[\int\limits_0^\infty e^{- x} dx\]
Chapter: [7] Integrals
Concept: undefined >> undefined
Concept: undefined >> undefined
\[\int\limits_0^1 \frac{x}{x + 1} dx\]
Chapter: [7] Integrals
Concept: undefined >> undefined
Concept: undefined >> undefined
\[\int\limits_0^{\pi/2} \left( \sin x + \cos x \right) dx\]
Chapter: [7] Integrals
Concept: undefined >> undefined
Concept: undefined >> undefined
\[\int\limits_{\pi/4}^{\pi/2} \cot x\ dx\]
Chapter: [7] Integrals
Concept: undefined >> undefined
Concept: undefined >> undefined
\[\int\limits_0^{\pi/4} \sec x dx\]
Chapter: [7] Integrals
Concept: undefined >> undefined
Concept: undefined >> undefined
\[\int\limits_{\pi/6}^{\pi/4} cosec\ x\ dx\]
Chapter: [7] Integrals
Concept: undefined >> undefined
Concept: undefined >> undefined
\[\int\limits_0^1 \frac{1 - x}{1 + x} dx\]
Chapter: [7] Integrals
Concept: undefined >> undefined
Concept: undefined >> undefined
\[\int\limits_0^\pi \frac{1}{1 + \sin x} dx\]
Chapter: [7] Integrals
Concept: undefined >> undefined
Concept: undefined >> undefined
\[\int\limits_{- \pi/4}^{\pi/4} \frac{1}{1 + \sin x} dx\]
Chapter: [7] Integrals
Concept: undefined >> undefined
Concept: undefined >> undefined
\[\int\limits_0^{\pi/2} \cos^2 x\ dx\]
Chapter: [7] Integrals
Concept: undefined >> undefined
Concept: undefined >> undefined
