Differentiation And Integration Formulae
Hello Guys I am Abhishek Kansari And Today I will provide the Differentiation and Integration Formulae:
Differentiation:
- d (xⁿ)/dx = nxⁿ-¹
- d (loge^x)/dx = 1/x
- d (e^x)/dx = e^x
- d (sinx)/dx = cosx
- d (cosx)/dx = -sinx
- d (tanx)/dx = sec²x
- d (cotx)/dx = -cosec²x
- d (sin-¹x)/dx = 1/√1-x²
- d (cos-¹x)/dx = -1/√1-x²
- d (tan-¹x)/dx = 1/1+x²
- d (cot-¹x)/dx = -1/1+x²
- d (sec-¹x)/dx = 1/x(x²-1)
- d (cosec-¹x)/dx = -1/x(x²-1)
Integration:
| Differentiation | Integration Formulae |
|---|---|
| dx/dx = 1 | ∫dx = x |
| d(loge^x)/dx = 1/x | ∫1/x.dx = loge^x |
| d(e^x)/dx = e^x | ∫e^x.dx = e^x |
| d(xⁿ+¹/n+1)xⁿ/dx = xⁿ | ∫xⁿ.dx = n+1/n+1 |
| d(sinx)/dx = cosx | ∫cosx.dx = sinx |
| d(cosx)/dx = -sinx | ∫sinx.dx = -cosx |
| d(tanx)/dx = sec²x | ∫secx.dx = tanx |
| d(cotx)/dx = -cosec²x | ∫cosecx.dx = -cotx |
| d(sin-¹x)/dx = 1/√1-x² | ∫1/√1-x².dx = sin-¹x |
| d(tan-¹x)/dx = 1/1+x² | ∫1/1+x².dx = tan-¹x |
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