{"id":27583,"date":"2020-12-30T07:41:09","date_gmt":"2020-12-30T07:41:09","guid":{"rendered":"https:\/\/tnboardsolutions.com\/?p=27583"},"modified":"2021-07-08T01:56:51","modified_gmt":"2021-07-08T07:26:51","slug":"samacheer-kalvi-12th-maths-guide-chapter-9-ex-9-6","status":"publish","type":"post","link":"https:\/\/tnboardsolutions.com\/samacheer-kalvi-12th-maths-guide-chapter-9-ex-9-6\/","title":{"rendered":"Samacheer Kalvi 12th Maths Guide Chapter 9 Applications of Integration Ex 9.6"},"content":{"rendered":"

Tamilnadu State Board New Syllabus\u00a0Samacheer Kalvi 12th Maths Guide<\/a> Pdf Chapter 9 Applications of Integration Ex 9.6 Textbook Questions and Answers, Notes.<\/p>\n

Tamilnadu Samacheer Kalvi 12th Maths Solutions Chapter 9 Applications of Integration Ex 9.6<\/h2>\n

Question 1.
\nEvaluate the following
\n(i) \\(\\int_{0}^{\u03c0\/2}\\) sin10<\/sup>x dx
\nSolution:
\nHere n = 10, which is even
\n\"Samacheer<\/p>\n

\"Samacheer<\/p>\n

(ii) \\(\\int_{0}^{\u03c0\/2}\\) cos7<\/sup>x dx
\nSolution:
\nHere n = 7, which is odd
\n\"Samacheer<\/p>\n

\"Samacheer<\/p>\n

(iii) \\(\\int_{0}^{\u03c0\/4}\\) sin6<\/sup> 2x dx
\nSolution:
\nput t = 2x
\ndt = 2 dx
\n\"Samacheer<\/p>\n

(iv) \\(\\int_{0}^{\u03c0\/6}\\) sin5<\/sup> 3x dx
\nSolution:
\nput t = 3x
\ndt = 3 dx
\n\"Samacheer<\/p>\n

\"Samacheer<\/p>\n

(v) \\(\\int_{0}^{\u03c0\/2}\\) sin2<\/sup> x cos4<\/sup> x dx
\nSolution:
\nHere m = 2, which is even and n = 4, which is even
\n\"Samacheer<\/p>\n

(vi) \\(\\int_{0}^{2\u03c0}\\) sin7<\/sup> \\(\\frac{x}{4}\\) dx
\nSolution:
\n\"Samacheer<\/p>\n

\"Samacheer<\/p>\n

(vii) \\(\\int_{0}^{\u03c0\/2}\\) sin3<\/sup> \u03b8 cos5<\/sup> \u03b8 d\u03b8
\nSolution:
\n\"Samacheer
\nAliter Method
\n\"Samacheer<\/p>\n

(viii) \\(\\int_{1}^{0}\\) x\u00b2 (1 – x)\u00b3 dx
\nSolution:
\nBy applying reduction formula
\n\"Samacheer<\/p>\n

\"Samacheer<\/p>\n","protected":false},"excerpt":{"rendered":"

Tamilnadu State Board New Syllabus\u00a0Samacheer Kalvi 12th Maths Guide Pdf Chapter 9 Applications of Integration Ex 9.6 Textbook Questions and Answers, Notes. Tamilnadu Samacheer Kalvi 12th Maths Solutions Chapter 9 Applications of Integration Ex 9.6 Question 1. Evaluate the following (i) sin10x dx Solution: Here n = 10, which is even (ii) cos7x dx Solution: …<\/p>\n","protected":false},"author":2,"featured_media":0,"comment_status":"open","ping_status":"open","sticky":false,"template":"","format":"standard","meta":{"spay_email":""},"categories":[5],"tags":[],"jetpack_featured_media_url":"","_links":{"self":[{"href":"https:\/\/tnboardsolutions.com\/wp-json\/wp\/v2\/posts\/27583"}],"collection":[{"href":"https:\/\/tnboardsolutions.com\/wp-json\/wp\/v2\/posts"}],"about":[{"href":"https:\/\/tnboardsolutions.com\/wp-json\/wp\/v2\/types\/post"}],"author":[{"embeddable":true,"href":"https:\/\/tnboardsolutions.com\/wp-json\/wp\/v2\/users\/2"}],"replies":[{"embeddable":true,"href":"https:\/\/tnboardsolutions.com\/wp-json\/wp\/v2\/comments?post=27583"}],"version-history":[{"count":0,"href":"https:\/\/tnboardsolutions.com\/wp-json\/wp\/v2\/posts\/27583\/revisions"}],"wp:attachment":[{"href":"https:\/\/tnboardsolutions.com\/wp-json\/wp\/v2\/media?parent=27583"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/tnboardsolutions.com\/wp-json\/wp\/v2\/categories?post=27583"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/tnboardsolutions.com\/wp-json\/wp\/v2\/tags?post=27583"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}