Basic Integration Formulas and the Substitution Rule 1The second fundamental theorem of integral calculus Recall fromthe last lecture the second fundamental theorem ofintegral calculus. Differentiation Formulas; Integration Rules; Properties of Differentiation and Integration. Solving linear equations using elimination method, Solving linear equations using substitution method, Solving linear equations using cross multiplication method, Solving quadratic equations by quadratic formula, Solving quadratic equations by completing square, Nature of the roots of a quadratic equations, Sum and product of the roots of a quadratic equations, Complementary and supplementary worksheet, Complementary and supplementary word problems worksheet, Sum of the angles in a triangle is 180 degree worksheet, Special line segments in triangles worksheet, Proving trigonometric identities worksheet, Quadratic equations word problems worksheet, Distributive property of multiplication worksheet - I, Distributive property of multiplication worksheet - II, Writing and evaluating expressions worksheet, Nature of the roots of a quadratic equation worksheets, Determine if the relationship is proportional worksheet, Trigonometric ratios of some specific angles, Trigonometric ratios of some negative angles, Trigonometric ratios of 90 degree minus theta, Trigonometric ratios of 90 degree plus theta, Trigonometric ratios of 180 degree plus theta, Trigonometric ratios of 180 degree minus theta, Trigonometric ratios of 270 degree minus theta, Trigonometric ratios of 270 degree plus theta, Trigonometric ratios of angles greater than or equal to 360 degree, Trigonometric ratios of complementary angles, Trigonometric ratios of supplementary angles, Domain and range of trigonometric functions, Domain and range of inverse  trigonometric functions, Sum of the angle in a triangle is 180 degree, Different forms equations of straight lines, Word problems on direct variation and inverse variation, Complementary and supplementary angles word problems, Word problems on sum of the angles of a triangle is 180 degree, Domain and range of rational functions with holes, Converting repeating decimals in to fractions, Decimal representation of rational numbers, L.C.M method to solve time and work problems, Translating the word problems in to algebraic expressions, Remainder when 2 power 256 is divided by 17, Remainder when 17 power 23 is divided by 16, Sum of all three digit numbers divisible by 6, Sum of all three digit numbers divisible by 7, Sum of all three digit numbers divisible by 8, Sum of all three digit numbers formed using 1, 3, 4, Sum of all three four digit numbers formed with non zero digits, Sum of all three four digit numbers formed using 0, 1, 2, 3, Sum of all three four digit numbers formed using 1, 2, 5, 6, Verify the Given Points are Vertices of Parallelogram Worksheet, Verify that the Given Points are Vertices of a Parallelogram. (Check your answer by differentiation. However, it is still possible to perform the derivative of this function. {{courseNav.course.mDynamicIntFields.lessonCount}} lessons Note that there are different ways of writing the derivative.

If you see the secant function squared, your answer will be the tangent function plus our constant of integration. 3. Use the law of indices in what equation we get. 6 0 obj Example 7.1 supports this statement.

lessons in math, English, science, history, and more. Both differentiation and integration, as discussed are inverse processes of each other. All rights reserved. This is not something we’ve performed up to this step and is only being done here to help with the assessment in the next step. Let's start with monomials. In the above example, our current power is 2, so our next power is 3. x��ZYs��_�����`����j#��kY9�,��t�Ю�@���;��:fj��m¡�4�U�Uy���㠖#���g�;/����Ÿ|�ǋwE�������.LR�dcP�ݟ�Z-g���[�-~�t� �S����WX�U�d4��=��������uw~��+5��m�v���~���'���t3��լL���~��&MS�~"�w{���y?��vz�Sd�^�'?��a�X|�W�+��}�7s����)�m�q�Ł��p@S�,��\$@DO�A#S\$�Ġ�a�����t%�/zT� �����aD:?��\$�M���)g�������F��,|�v�2�0���3\$k�I�@@y7"/��Eg��`4n5Z��xү�o��8��� L�n�qO��`\$!7zם�C����>���\�ͨ]w