Solution : We have, I = \((sin^{-1}x)^2\) dx Let \(sin^{-1}x\) = t, Then, x = sin t \(\implies\) dx = cos t dt \(\therefore\) I = \(\int\) \((sin^{-1}x)^2\) dx I = \(\int\) \(t^2\) cos t dt Applying integration by parts and, Taking \(t^2\) as first function and cos t as second function, I = \(t^2\) […]
What is the integration of sin inverse x whole square ? Read More »
Solution : We have, I = \(\int\) \(x sin^{-1} x\) dx By using integration by parts formula, I = \(sin^{-1} x\) \(x^2\over 2\) – \(\int\) \(1\over \sqrt{1 – x^2}\) \(\times\) \(x^2\over 2\) dx I = \(x^2\over 2\) \(sin^{-1} x\) + \(1\over 2\) \(\int\) \(-x^2\over \sqrt{1 – x^2}\) dx = \(x^2\over 2\) \(sin^{-1} x\) + \(1\over
What is the integration of x sin inverse x dx ? Read More »
Solution : The formula for volume of cuboid of length l, breadth b and height h is \(lbh\). Read Post : Formula for Volume of cuboid – Derivation & Example Similar Questions What is the Formula for Surface Area of Cylinder ? What is the Formula for Surface Area of Cube ? What is the
What is the Formula for Volume of Cuboid ? Read More »
Solution : The formula for the total suface area of cube of side a is \(6a^2\). And the formula for the lateral surface area of cube is \(4a^2\). Read Post : Formula for Surface Area of Cube – Derivation & Example Similar Questions What is the Formula for Volume of Cuboid ? What is the
What is the Formula for Surface Area of Cube ? Read More »
Solution : The formula for surface area of a cuboid of length l, breadth b and height h is 2(lb + bh + hl). This is the total surface area of cuboid. The lateral surface area of cuboid is 2(l + b)h. Read Post : Formula for Surface Area of Cuboid – Derivation & Example
What is the Formula for Surface Area of a Cuboid ? Read More »
Solution : The formula for volume of a cube of side a is \(a^3\). Read Post : Formula for Volume of Cube – Derivation & Example Similar Questions What is the Formula for Volume of Cuboid ? What is the Formula for Surface Area of Cube ? What is the Formula for Surface Area of
What is the Formula for Volume of a Cube ? Read More »
Solution : The formula for volume of cylinder of base radius r and height h is \(\pi r^2 h\). Read Post : Formula for Volume of Cylinder – Definition & Examples Similar Questions What is the Formula for Volume of Cuboid ? What is the Formula for Surface Area of Cube ? What is the
What is the Formula for Volume of Cylinder ? Read More »
Solution : The curved surface area of cylinder is \(2\pi rh\) And the total surface are of cylinder is \(2\pi r(h + r)\). Read Post : Formula for Surface Area of cylinder – Derivation & Example Similar Questions What is the Formula for Volume of Cuboid ? What is the Formula for Surface Area of
What is the Formula for Surface Area of Cylinder ? Read More »
Here you will learn formula for surface area of cylinder (total surface area and curved surface area) with examples. Let’s begin – Formula for Surface Area of cylinder (a) Total Surface Area T.S.A = \(2\pi r(h + r)\) (b) Curved Surface Area C.S.A = \(2\pi rh\) Also Read : Formula for Volume of Cylinder –
Formula for Surface Area of cylinder – Derivation and Example Read More »
Solution : Let I = \(\int\) \(tan^{-1}\sqrt{x}\).1 dx By Applying integration by parts, Taking \(tan^{-1}\sqrt{x}\) as first function and 1 as second function. Then I = \(tan^{-1}\sqrt{x}\) \(\int\) 1 dx – \(\int\) {\(d\over dx\)\(tan^{-1}\sqrt{x}\) \(\int\) 1 dx } dx I = x\(tan^{-1}\sqrt{x}\) – \(\int\) \(1\over 2(1+x)\sqrt{x}\) . x dx Let \(\sqrt{x}\) = t \(1\over 2\sqrt{x}\)
What is the integration of tan inverse root x ? Read More »
