Recent questions tagged applications of integration

+3 votes

1 answer

Prove ∫∫(x-u) ∈[0,x] ∈[0,t] f(u) du

asked Apr 2, 2019 in JEE by kratos

+2 votes

1 answer

If the plane 2ax – 3ay + 4az + 6 = 0

asked Mar 31, 2019 in JEE by kratos

+3 votes

1 answer

∫(x^3 + x cos x + tan^5 x + 1) dx , x ∈ [-π/2, π/2] = ?

asked Mar 20, 2019 in Class 12 by kratos

+3 votes

1 answer

Evaluate : ∫x/(sin x + cos x) dx , x ∈ [0,π/2]

asked Mar 20, 2019 in Class 12 by kratos

+2 votes

1 answer

Find ∫x^2 e^x^3 dx.

asked Mar 16, 2019 in Class 12 by kratos

+1 vote

1 answer

∫dx/√(a^2 + x^2) = ......

asked Mar 11, 2019 in Class 12 by kratos

+3 votes

1 answer

If u = sin(x – y), find du/dx,du/dy.

asked Feb 27, 2019 in Class 12 by kratos

+2 votes

1 answer

The principal value of tan^-1 (-√3) (a) 2π/3 (b) 4π/3 (c) -π/3 (d) none of these

asked Feb 20, 2019 in Class 12 by kratos

+3 votes

1 answer

Prove that sin^-1 (2√2/3) + sin^-1 (1/3) = π/2.

asked Feb 15, 2019 in JEE by kratos

+3 votes

1 answer

1∫0 x(1- x)^99 dx =

asked Feb 13, 2019 in JEE by kratos

+3 votes

1 answer

Evaluate :∫sin x/(1 - cos^2x)dx for x →[0, π/2].

asked Jan 25, 2019 in Class 12 by kratos

+3 votes

1 answer

If the equation 4y^3 - 8a^2yx^2 - 3ay^2x + 8x^3 = 0 represent three straight lines, two of them are perpendicular

asked Jan 1, 2019 in Class 12 by kratos

+1 vote

1 answer

The integral ∫cos(logex)dx is equal to : (where C is a constant of integration)

asked Dec 30, 2018 in JEE by kratos

+1 vote

1 answer

Prove that ∫sin^-1 (√t) dt for t ∈ [0,sin^2 x] + ∫ cos–1 (√t) dt for t ∈ [0,cos^2 x] = π/4

asked Dec 23, 2018 in JEE by kratos

+1 vote

1 answer

The area of the figure bounded by the straight lines x = 0, x = 2 and the curves y = 2x, y = 2 x - x^2, is

asked Dec 14, 2018 in JEE by kratos

+3 votes

1 answer

Using integration, find the area lying above x-axis and included between the circle x^2+y^2=8x and the parabola y^2=4x

asked Dec 9, 2018 in JEE by kratos

+1 vote

1 answer

Evaluate- ∫cos^2 x dx for x ∈ [0,π/2].

asked Nov 30, 2018 in Class 12 by kratos

+3 votes

1 answer

The circle x^2 + y^2 – 2x – 2y + 1 = 0 is rotated about its point of contact with y-axis through the angle

asked Nov 29, 2018 in JEE by kratos

+3 votes

1 answer

Consider the following statements : Statement I : ∫sin^7 x dx for x ∈ [-π/2,π/2] = 0

asked Nov 28, 2018 in JEE by kratos

+2 votes

1 answer

At what point on the ellipsoid x ^2+ y ^2+2z ^2 = 1 is the tangent plane parallel to the plane x +2y+z = 1?

asked Nov 27, 2018 in Physics by kratos

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