P RAVINDRA
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#📘ఇంటర్ సైన్స్ & మ్యాథ్స్ #📖ఎడ్యుకేషన్✍
Telangana Inter Maths model paper from 2026-27 batch
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P RAVINDRA#➗10th గణితం #📘ఇంటర్ సైన్స్ & మ్యాథ్స్ #📖ఎడ్యుకేషన్✍ #🏆పోటీ పరీక్షల స్పెషల్ #👩💻టెట్/DSC ప్రత్యేకం![LOGARITHMS Synopsis and Formulae logx N 0>0,1>0,1#1 a = a = xN ; logm logm logm 2 (ab) b a+ S ()= logm] logm logm bl 0 logb logb 111 m a Q ಕ 1 logb logb" | b >0,b#1, 5 0 m 0>0, i # 0 ) m logb" logb 0 n loga 0 1 ೆಕ logb 8 b = 1 PRAVINDRA LOGARITHMS Synopsis and Formulae logx N 0>0,1>0,1#1 a = a = xN ; logm logm logm 2 (ab) b a+ S ()= logm] logm logm bl 0 logb logb 111 m a Q ಕ 1 logb logb" | b >0,b#1, 5 0 m 0>0, i # 0 ) m logb" logb 0 n loga 0 1 ೆಕ logb 8 b = 1 PRAVINDRA](https://cdn4.sharechat.com/bd5223f_s1w/compressed_gm_40_img_569656_1324445d_1785001568444_sc.jpg?tenant=sc&referrer=feed-service&f=444_sc.jpg)
1410- P RAVINDRA#➗10th గణితం #🏆పోటీ పరీక్షల స్పెషల్ #🤔Guess the Answer❓ #📘ఇంటర్ సైన్స్ & మ్యాథ్స్ #📖ఎడ్యుకేషన్✍
![MATHS TUITIONS 1th MATHS WARASIGUDA, SECUNDERABAD MENSURATION SYNOPSIS CUBOID Lateral Surface Area of the Cuboid (L.S.A) = 2h(l + b) here [ = length Total Surface Area of the Cuboid (T.S.A) २(Ib + bh + hl) b = breadth h = height V = Ibh Volume of the Cuboid 2) CUBE : 4$2 Lateral Surface Area of the Cube (L.S.A) here side or) edge 6$2 Total Surface Area of the Cube (T.S.A) of the cube $3 Volume of the Cube V 3) REGULAR CIRCULAR CYLINDER : Curved Surface Area of the Cylinder (C.S.A) = 2nrh here 1 radius of the base Total Surface Area of the Cylinder (TSA) = Zir(h + r) h = height TT2h Volume of the Cylinder; V SPHERE 4TT2 Surface Area of the Sphere; A= here ٣ = radius 3 Volume of the Sphere, V T1*3 5) HEMISPHERE Hemisphere (C.S.A) 2112' Curved Surface Area of the hereT = rudius 31T2 Total Surface Area of the Hemisphere (T S.A) = 2 Volume of the Hemisphere, V Tr3 3 6) RIGHt CIRCULAR CONE here r = radius Curved Surface Area of the Cone (C.S.A) = nrl of the base Total Surface Area of the Cone (T.S.A) = nr(r + 4) height h = TT2h Volume of the Cone, V = slant height] 3 Also [2 = 12 + h2 Practice Today, Success Tomorrow! PRAVINDRA, MSc Dedicated to Your Success in MATHS MATHS TUITIONS 1th MATHS WARASIGUDA, SECUNDERABAD MENSURATION SYNOPSIS CUBOID Lateral Surface Area of the Cuboid (L.S.A) = 2h(l + b) here [ = length Total Surface Area of the Cuboid (T.S.A) २(Ib + bh + hl) b = breadth h = height V = Ibh Volume of the Cuboid 2) CUBE : 4$2 Lateral Surface Area of the Cube (L.S.A) here side or) edge 6$2 Total Surface Area of the Cube (T.S.A) of the cube $3 Volume of the Cube V 3) REGULAR CIRCULAR CYLINDER : Curved Surface Area of the Cylinder (C.S.A) = 2nrh here 1 radius of the base Total Surface Area of the Cylinder (TSA) = Zir(h + r) h = height TT2h Volume of the Cylinder; V SPHERE 4TT2 Surface Area of the Sphere; A= here ٣ = radius 3 Volume of the Sphere, V T1*3 5) HEMISPHERE Hemisphere (C.S.A) 2112' Curved Surface Area of the hereT = rudius 31T2 Total Surface Area of the Hemisphere (T S.A) = 2 Volume of the Hemisphere, V Tr3 3 6) RIGHt CIRCULAR CONE here r = radius Curved Surface Area of the Cone (C.S.A) = nrl of the base Total Surface Area of the Cone (T.S.A) = nr(r + 4) height h = TT2h Volume of the Cone, V = slant height] 3 Also [2 = 12 + h2 Practice Today, Success Tomorrow! PRAVINDRA, MSc Dedicated to Your Success in MATHS](https://cdn4.sharechat.com/bd5223f_s1w/compressed_gm_40_img_391106_b3181a5_1785168389873_sc.jpg?tenant=sc&referrer=feed-service&f=873_sc.jpg)
818 - P RAVINDRA#📘ఇంటర్ సైన్స్ & మ్యాథ్స్ #🏆పోటీ పరీక్షల స్పెషల్ #📖ఎడ్యుకేషన్✍
8884 - P RAVINDRA#📘ఇంటర్ సైన్స్ & మ్యాథ్స్ #📖ఎడ్యుకేషన్✍ #🏆పోటీ పరీక్షల స్పెషల్ INTEGRATION BY PARTS
![INTEGRATION BY PARTS u [ (u' | v dx) dx Jvdx V dx u = ILATE RULE (Choose u) 8 where Inverse functions 1, 1 are functions of X Logarithmic functions Algebraic functions A according to u and v must be chosen Trigonometric functions ] the ILATE rule, where E Exponential functions MATHS TUITIONS WARASIGUDA, SECUNDERABADK Algebraic Logarithmic 1 Trigonometric Exponential Inverse functions functions functions functions functions 0 EXAMPLE Remember! J x log dx Example: 1 dx Choose u first log x Solution: Let du (as per ILATE rule) 2 Jx dx 0 dx dv > V Find du, V By intesration by parts, Apply the formula Jvdx - J (u Jvdx) dx J x 108 > dx carefully-| (2) - [ (T . 2 ) dx Simplify the result (log x) 12 J (2 log dx 2 22 log Y ೩2 + C २ 2 2 2 د2 ) x 108 > log X dx +C INTEGRATION BY PARTS u [ (u' | v dx) dx Jvdx V dx u = ILATE RULE (Choose u) 8 where Inverse functions 1, 1 are functions of X Logarithmic functions Algebraic functions A according to u and v must be chosen Trigonometric functions ] the ILATE rule, where E Exponential functions MATHS TUITIONS WARASIGUDA, SECUNDERABADK Algebraic Logarithmic 1 Trigonometric Exponential Inverse functions functions functions functions functions 0 EXAMPLE Remember! J x log dx Example: 1 dx Choose u first log x Solution: Let du (as per ILATE rule) 2 Jx dx 0 dx dv > V Find du, V By intesration by parts, Apply the formula Jvdx - J (u Jvdx) dx J x 108 > dx carefully-| (2) - [ (T . 2 ) dx Simplify the result (log x) 12 J (2 log dx 2 22 log Y ೩2 + C २ 2 2 2 د2 ) x 108 > log X dx +C](https://cdn4.sharechat.com/bd5223f_s1w/compressed_gm_40_img_409393_1a35223f_1785234408045_sc.jpg?tenant=sc&referrer=feed-service&f=045_sc.jpg)
1611 - P RAVINDRA#📘ఇంటర్ సైన్స్ & మ్యాథ్స్ #📖ఎడ్యుకేషన్✍ #🏆పోటీ పరీక్షల స్పెషల్ INTEGRATIONS FORMULAE
![INDEFINITE INTEGRATIONS | d Jftx)dx Jxdx INDIRECT FORMULAE [f()]"+1 J f'() [f(x)]"dx 1 +C 3 " n+1 (f(x))2 f'(x) - f(x) dx 2 +C ೆಕ 2 2 f'(x)V f(x) dx [f(x)]3/ 3 +C 3 _f'() V f(x) +C 4 dx 2 Vf(x) MATHS TUITIONS ೫ WARASIGUDA, SECUNDERABAD f@) 5 log | f(x) | + C dx F f'(x) ] ] dx +C 6 F f(x))2 f(x) 0 ex ( f(x) + f'(x) ) dx ex flx) + c = (< f'() + f(x) ) dx 8 f(x) + C 3 . = INDEFINITE INTEGRATIONS | d Jftx)dx Jxdx INDIRECT FORMULAE [f()]"+1 J f'() [f(x)]"dx 1 +C 3 n+1 (f(x))2 f'(x) - f(x) dx 2 +C ೆಕ 2 2 f'(x)V f(x) dx [f(x)]3/ 3 +C 3 _f'() V f(x) +C 4 dx 2 Vf(x) MATHS TUITIONS ೫ WARASIGUDA, SECUNDERABAD f@) 5 log | f(x) | + C dx F f'(x) ] ] dx +C 6 F f(x))2 f(x) 0 ex ( f(x) + f'(x) ) dx ex flx) + c = (< f'() + f(x) ) dx 8 f(x) + C 3 . =](https://cdn4.sharechat.com/bd5223f_s1w/compressed_gm_40_img_378415_3150939f_1785234377154_sc.jpg?tenant=sc&referrer=feed-service&f=154_sc.jpg)
714 - P RAVINDRA#📘ఇంటర్ సైన్స్ & మ్యాథ్స్ #🏆పోటీ పరీక్షల స్పెషల్ #📖ఎడ్యుకేషన్✍
1113 - P RAVINDRA#📘ఇంటర్ సైన్స్ & మ్యాథ్స్ #📖ఎడ్యుకేషన్✍ #🏆పోటీ పరీక్షల స్పెషల్ EAMCET MATHS Circles
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➺𝆺𝅥⃝🅰ᴀͥʀᴏͣʜͫɪ❥ ⃝⃟🦋#🎵బోనాల పాటలు🙏 #😢సీఎంతో మాట్లాడిన విద్యార్థిని ఆత్మహత్య.. కలకలం! #😴శుభరాత్రి #🤔టిప్స్ & ట్రిక్స్ విత్ ఫన్👨🏫 #📘ఇంటర్ సైన్స్ & మ్యాథ్స్
78- P RAVINDRA#🏆పోటీ పరీక్షల స్పెషల్ #📘ఇంటర్ సైన్స్ & మ్యాథ్స్ #📖ఎడ్యుకేషన్✍ #👩💻టెట్/DSC ప్రత్యేకం #🤔Guess the Answer❓
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