GRAVITY COACHING INSTITUTE

Q44 | ∫(log⁡x sin⁡[1+(log⁡x )^2 ])/x dx | Integral of (log⁡x sin⁡[1+(log⁡x )^2 ])/x dx | Class 12

Q249 | Prove that √((1-cos⁡A)/(1+cos⁡A )) + √((1+cos⁡A)/(1-cos⁡A )) = 2 cosec⁡A

Q219 | Expand (2x-7y)^2 | 2 x - 7 y whole square | (2x-7y)^2 | (2x-7y)2 | 2x minus 7y whole square

Q12 | If y = A sin x + B cos x prove d2y/dx2+y=0 | 2nd Order Derivative |Gravity Coaching Institute

Q71 | Integrate ∫e^x/x (1+x log⁡x) | Integration of e^x/x (1+x log⁡x) | Integral of e^x/x(1+x log⁡x)

Q47 | ∫tan⁡x/(log⁡cos⁡x)^2 dx | Integral of tan⁡x/(log⁡cos⁡x)^2 | Integration of tan⁡x/(log⁡cos⁡x)^2

Q26 | ∫sec^2⁡(log⁡x)/x dx | Integral of sec^2⁡(log⁡x)/x dx | Integration of sec^2⁡(log⁡x)/x dx

Q24 | ∫log⁡(1+1/x)/x(1+x) dx | Integral of log⁡(1+1/x)/x(1+x) dx | Integration of log⁡(1+1/x)/x(1+x)

Q15 | Integral 0 to pi/2 root sin x / root sin x + cos x dx | 0 to pi/2 root over sin x / root over

Q170 | ∫ log⁡(√(1+x))/(x+1) dx | Integral of log square root 1 + x / x + 1 | log⁡ √(1+x) / x + 1

Q175 | ∫ sin^3⁡x cos^3⁡x dx | Integral of sin cube x cos cube x | Integration sin ^3⁡ x cos ^3 ⁡x

Q38 | ∫(1+tan⁡x)/(x+log⁡sec⁡x) dx | Integral of (1+tan⁡x)/(x+log⁡sec⁡x) dx | (1+tan⁡x)/(x+log⁡sec⁡x)

Q78 | Simplify (√3+√7)^2 | root 3 + root 7 whole square | the square of root 3 + root 7 | (√3+√7) ^2

Q28 | If sec⁡(x+y)=xy, find ⅆy/ⅆx.

Q15 | ∫ 1/x(x^n+1) dx | Integral of 1 / x (x^n+1)

Q73 | Find the values of a and b if (√11-√7)/(√11+√7)=a-b√77 | root 11 - root 7 / root 11 + root 7

Q45 | ∫sin⁡(2+3 log⁡x)/x dx | Integral of sin⁡(2+3 log⁡x)/x dx | Integration of sin⁡(2+3 log⁡x)/x dx

Differentiate e ^x sec ⁡x | Derivative of ex sec x | Differentiate ex sec x | e^x sec⁡x | Class 11

Q33 | Rationalise the denominator of (√7-√5)/(√7+√5) | Rationalise root 7 - root 5 by root 7 + root5

Q55 | ∫1/(sin^2⁡x cos^2⁡x) dx | Integration of 1/(sin^2⁡x cos^2⁡x) | Integral of 1/(sin^2⁡x cos^2⁡x)

Q282 | Factorise 2x^2+7x+3 | Factorise 2x2+7x+3 | Factorise 2 x square + 7x + 3 | 2 x square + 7x +3

Q50 | Differentiate cos⁡(log⁡x+e^x) | Derivative of cos⁡(log⁡x+e^x) | cos⁡ log ⁡x + e to the power x

Q45 | Evaluate ∫1/(1-cosx) dx | Integral of 1/(1-cosx) dx | Integration of 1/(1-cosx) dx | Class 12

Q70 | Simplify 4th root 81- 8 cube root 216 + 15 5th root 32 + root 225

Q25 | Evaluate ∫log⁡(log⁡x)/2 dx | Integration of log logx/2 dx | Integral of log logx by 2 dx

Q149 | Evaluate ∫ 1/(1+tan⁡x) dx | Integrate 1 / 1 + tan x | Integral of 1 / 1 + tan x | Class 12

Q25 | Integral 0 to pie / 2 cos 2x dx | Integrate cos2x dx from 0 to pie / 2 | 0 to pie/2 cos 2x dx

Q72 | Evaluate ∫ √(1+cos⁡x) dx | Integral of square root 1 + cos x | Integration under root 1+cos x

Q73 | Evaluate ∫ √(1-cos⁡x) dx | Integral of square root 1 - cos x | Integration under root 1 - cosx

Differentiate e ^x sin ⁡x + x ^p cos⁡ x | Derivative of ex sin x + xp cos x | Class 11

Prove that sin⁡ 10 sin ⁡30 sin⁡ 50 sin⁡ 70 = 1/16 | sin 10 degree sin 30 degree sin 50 degree sin 70

Q124 | Solve 0=16+4(m-6) | 0 = 16 + 4 ( m - 6 )

Q161 | Evaluate ∫ 1/(1-tan⁡x) dx | Integrate 1 / 1 - tan x | Integral of 1 / 1 - tan x | Class 12

Q79 | Evaluate ∫ 1/(1+sin⁡x) dx | Integral of 1 / 1 + sin x | Integration of 1 / 1 + sin x

Q129 | ∫tan^(-1)⁡(√((1-cos⁡2x)/(1+cos⁡2x )))dx | Integral of tan inverse square root 1 - cos2x / 1+

Q20 | ∫1/x(3+log⁡x) dx | Integral of 1/x(3+log⁡x) dx | Integration of 1/x(3+log⁡x) dx | Class XII

Q6 | Integrate 1 / x dx from 2 to 3 | Integration of 1/x dx with limits 2 to 3 | integral 2 to 3 1/x

Q61 | Evaluate ∫cos^2⁡x dx | Integral of cos square x | Integration of cos square x | Class 12

Q4 | Evaluate ∫log⁡x dx | Integral of logx | Integration of logx | Integration by parts | Calculus

Q31 | Solve the Differential Equation y dx + x dy = xy (dy - dx) | Variables Separable | Class 12

Q94 | Differentiate sin^(-1)⁡(x√x) | Derivative of sin^(-1)⁡(x√x) | sin inverse x into root x

Q10 | ∫ √((1-cos2x)/(1+cos2x)) dx | Integral of √((1-cos2x)/(1+cos2x)) dx

Q36 | Divide 8√15 by 2√3 | 8 root 15 / 2 root 3 | 8 root 15 by 2 root 3 | 8 root 15 upon 2 root 3

Q356 | ∫(e^x+e^(-x)) / (e^x-e^(-x)) dx | Integral of ex + e-x / ex - e-x | Integration ex+e-x/ex-e-x

Q62 | Simplify 17√3-2√32+3√18-4√48 | 17 root 3 - 2 root 32 + 3 root 18 - 4 root 48

Q14 | Evaluate ∫x log⁡2x dx | Integral of x log⁡ 2x | Integration of x log⁡2x | Integration by parts

Q191 | Differentiate log⁡(x+2+√(x^2+4x+1))

Q12 | Find the distance between the points A(1, -3) and B(4, -6).

Q80 | 7 + 3 root 5 / 3 + root 5 | 7 - 3 root 5 / 3 - root 5 | 7+3√5 / 3+√5 | 7-3√5 / 3 -√5

Q83 | Expand (3x-2y)^3 | Find the cube of 3x-2y | Expand 3x-2y whole cube | Evaluate (3x-2y)^3